Package evaluation of PolaronMobility on Julia 1.11.4 (a71dd056e0*) started at 2025-04-08T19:23:51.037 ################################################################################ # Set-up # Installing PkgEval dependencies (TestEnv)... Set-up completed after 8.49s ################################################################################ # Installation # Installing PolaronMobility... Resolving package versions... Updating `~/.julia/environments/v1.11/Project.toml` [a1b829d7] + PolaronMobility v2.0.1 Updating `~/.julia/environments/v1.11/Manifest.toml` [47edcb42] + ADTypes v1.14.0 [79e6a3ab] + Adapt v4.3.0 [66dad0bd] + AliasTables v1.1.3 [4fba245c] + ArrayInterface v7.18.0 [62783981] + BitTwiddlingConvenienceFunctions v0.1.6 [a74b3585] + Blosc v0.7.3 [2a0fbf3d] + CPUSummary v0.2.6 [fb6a15b2] + CloseOpenIntervals v0.1.13 [35d6a980] + ColorSchemes v3.29.0 ⌅ [3da002f7] + ColorTypes v0.11.5 ⌃ [c3611d14] + ColorVectorSpace v0.10.0 ⌅ [5ae59095] + Colors v0.12.11 [bbf7d656] + CommonSubexpressions v0.3.1 [f70d9fcc] + CommonWorldInvalidations v1.0.0 [34da2185] + Compat v4.16.0 [187b0558] + ConstructionBase v1.5.8 [adafc99b] + CpuId v0.3.1 [9a962f9c] + DataAPI v1.16.0 [864edb3b] + DataStructures v0.18.22 [163ba53b] + DiffResults v1.1.0 [b552c78f] + DiffRules v1.15.1 [a0c0ee7d] + DifferentiationInterface v0.6.50 [ffbed154] + DocStringExtensions v0.9.4 [4e289a0a] + EnumX v1.0.5 [5789e2e9] + FileIO v1.17.0 [1a297f60] + FillArrays v1.13.0 [6a86dc24] + FiniteDiff v2.27.0 [53c48c17] + FixedPointNumbers v0.8.5 [f6369f11] + ForwardDiff v1.0.1 [dc211083] + Gnuplot v1.6.5 [c8ec2601] + H5Zblosc v0.1.2 [f67ccb44] + HDF5 v0.17.2 [3e5b6fbb] + HostCPUFeatures v0.1.17 [615f187c] + IfElse v0.1.1 [92d709cd] + IrrationalConstants v0.2.4 [4138dd39] + JLD v0.13.5 [692b3bcd] + JLLWrappers v1.7.0 [10f19ff3] + LayoutPointers v0.1.17 [d3d80556] + LineSearches v7.3.0 [2ab3a3ac] + LogExpFunctions v0.3.29 [bdcacae8] + LoopVectorization v0.12.172 [3da0fdf6] + MPIPreferences v0.1.11 [1914dd2f] + MacroTools v0.5.15 [d125e4d3] + ManualMemory v0.1.8 [e1d29d7a] + Missings v1.2.0 [d41bc354] + NLSolversBase v7.9.1 [77ba4419] + NaNMath v1.1.3 [6fe1bfb0] + OffsetArrays v1.16.0 [429524aa] + Optim v1.12.0 [bac558e1] + OrderedCollections v1.8.0 [d96e819e] + Parameters v0.12.3 [a1b829d7] + PolaronMobility v2.0.1 [1d0040c9] + PolyesterWeave v0.2.2 [85a6dd25] + PositiveFactorizations v0.2.4 ⌅ [aea7be01] + PrecompileTools v1.2.1 [21216c6a] + Preferences v1.4.3 [43287f4e] + PtrArrays v1.3.0 [1fd47b50] + QuadGK v2.11.2 [189a3867] + Reexport v1.2.2 [b873ce64] + ReplMaker v0.2.7 [ae029012] + Requires v1.3.1 [94e857df] + SIMDTypes v0.1.0 [476501e8] + SLEEFPirates v0.6.43 [efcf1570] + Setfield v1.1.2 [a2af1166] + SortingAlgorithms v1.2.1 [276daf66] + SpecialFunctions v2.5.0 [aedffcd0] + Static v1.2.0 [0d7ed370] + StaticArrayInterface v1.8.0 [1e83bf80] + StaticArraysCore v1.4.3 [10745b16] + Statistics v1.11.1 [82ae8749] + StatsAPI v1.7.0 [2913bbd2] + StatsBase v0.34.4 [d2514e9c] + StructC14N v0.3.1 [62fd8b95] + TensorCore v0.1.1 [8290d209] + ThreadingUtilities v0.5.2 [bc48ee85] + Tullio v0.3.8 [3a884ed6] + UnPack v1.0.2 [3d5dd08c] + VectorizationBase v0.21.71 [0b7ba130] + Blosc_jll v1.21.7+0 [0234f1f7] + HDF5_jll v1.14.6+0 [e33a78d0] + Hwloc_jll v2.12.0+0 [5ced341a] + Lz4_jll v1.10.1+0 [7cb0a576] + MPICH_jll v4.3.0+1 [f1f71cc9] + MPItrampoline_jll v5.5.3+0 [9237b28f] + MicrosoftMPI_jll v10.1.4+3 [fe0851c0] + OpenMPI_jll v5.0.7+2 [458c3c95] + OpenSSL_jll v3.0.16+0 [efe28fd5] + OpenSpecFun_jll v0.5.6+0 [3161d3a3] + Zstd_jll v1.5.7+1 [477f73a3] + libaec_jll v1.1.3+0 [0dad84c5] + ArgTools v1.1.2 [56f22d72] + Artifacts v1.11.0 [2a0f44e3] + Base64 v1.11.0 [ade2ca70] + Dates v1.11.0 [8ba89e20] + Distributed v1.11.0 [f43a241f] + Downloads v1.6.0 [7b1f6079] + FileWatching v1.11.0 [9fa8497b] + Future v1.11.0 [b77e0a4c] + InteractiveUtils v1.11.0 [4af54fe1] + LazyArtifacts v1.11.0 [b27032c2] + LibCURL v0.6.4 [76f85450] + LibGit2 v1.11.0 [8f399da3] + Libdl v1.11.0 [37e2e46d] + LinearAlgebra v1.11.0 [56ddb016] + Logging v1.11.0 [d6f4376e] + Markdown v1.11.0 [a63ad114] + Mmap v1.11.0 [ca575930] + NetworkOptions v1.2.0 [44cfe95a] + Pkg v1.11.0 [de0858da] + Printf v1.11.0 [3fa0cd96] + REPL v1.11.0 [9a3f8284] + Random v1.11.0 [ea8e919c] + SHA v0.7.0 [9e88b42a] + Serialization v1.11.0 [6462fe0b] + Sockets v1.11.0 [2f01184e] + SparseArrays v1.11.0 [f489334b] + StyledStrings v1.11.0 [fa267f1f] + TOML v1.0.3 [a4e569a6] + Tar v1.10.0 [8dfed614] + Test v1.11.0 [cf7118a7] + UUIDs v1.11.0 [4ec0a83e] + Unicode v1.11.0 [e66e0078] + CompilerSupportLibraries_jll v1.1.1+0 [deac9b47] + LibCURL_jll v8.6.0+0 [e37daf67] + LibGit2_jll v1.7.2+0 [29816b5a] + LibSSH2_jll v1.11.0+1 [c8ffd9c3] + MbedTLS_jll v2.28.6+0 [14a3606d] + MozillaCACerts_jll v2023.12.12 [4536629a] + OpenBLAS_jll v0.3.27+1 [05823500] + OpenLibm_jll v0.8.5+0 [bea87d4a] + SuiteSparse_jll v7.7.0+0 [83775a58] + Zlib_jll v1.2.13+1 [8e850b90] + libblastrampoline_jll v5.11.0+0 [8e850ede] + nghttp2_jll v1.59.0+0 [3f19e933] + p7zip_jll v17.4.0+2 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m` Installation completed after 7.72s ################################################################################ # Precompilation # Precompiling PkgEval dependencies... Precompiling package dependencies... Precompilation completed after 159.53s ################################################################################ # Testing # Testing PolaronMobility Status `/tmp/jl_ZfDhHG/Project.toml` [dc211083] Gnuplot v1.6.5 [4138dd39] JLD v0.13.5 [bdcacae8] LoopVectorization v0.12.172 [429524aa] Optim v1.12.0 [a1b829d7] PolaronMobility v2.0.1 [1fd47b50] QuadGK v2.11.2 [bc48ee85] Tullio v0.3.8 [37e2e46d] LinearAlgebra v1.11.0 [de0858da] Printf v1.11.0 [8dfed614] Test v1.11.0 Status `/tmp/jl_ZfDhHG/Manifest.toml` [47edcb42] ADTypes v1.14.0 [79e6a3ab] Adapt v4.3.0 [66dad0bd] AliasTables v1.1.3 [4fba245c] ArrayInterface v7.18.0 [62783981] BitTwiddlingConvenienceFunctions v0.1.6 [a74b3585] Blosc v0.7.3 [2a0fbf3d] CPUSummary v0.2.6 [fb6a15b2] CloseOpenIntervals v0.1.13 [35d6a980] ColorSchemes v3.29.0 ⌅ [3da002f7] ColorTypes v0.11.5 ⌃ [c3611d14] ColorVectorSpace v0.10.0 ⌅ [5ae59095] Colors v0.12.11 [bbf7d656] CommonSubexpressions v0.3.1 [f70d9fcc] CommonWorldInvalidations v1.0.0 [34da2185] Compat v4.16.0 [187b0558] ConstructionBase v1.5.8 [adafc99b] CpuId v0.3.1 [9a962f9c] DataAPI v1.16.0 [864edb3b] DataStructures v0.18.22 [163ba53b] DiffResults v1.1.0 [b552c78f] DiffRules v1.15.1 [a0c0ee7d] DifferentiationInterface v0.6.50 [ffbed154] DocStringExtensions v0.9.4 [4e289a0a] EnumX v1.0.5 [5789e2e9] FileIO v1.17.0 [1a297f60] FillArrays v1.13.0 [6a86dc24] FiniteDiff v2.27.0 [53c48c17] FixedPointNumbers v0.8.5 [f6369f11] ForwardDiff v1.0.1 [dc211083] Gnuplot v1.6.5 [c8ec2601] H5Zblosc v0.1.2 [f67ccb44] HDF5 v0.17.2 [3e5b6fbb] HostCPUFeatures v0.1.17 [615f187c] IfElse v0.1.1 [92d709cd] IrrationalConstants v0.2.4 [4138dd39] JLD v0.13.5 [692b3bcd] JLLWrappers v1.7.0 [10f19ff3] LayoutPointers v0.1.17 [d3d80556] LineSearches v7.3.0 [2ab3a3ac] LogExpFunctions v0.3.29 [bdcacae8] LoopVectorization v0.12.172 [3da0fdf6] MPIPreferences v0.1.11 [1914dd2f] MacroTools v0.5.15 [d125e4d3] ManualMemory v0.1.8 [e1d29d7a] Missings v1.2.0 [d41bc354] NLSolversBase v7.9.1 [77ba4419] NaNMath v1.1.3 [6fe1bfb0] OffsetArrays v1.16.0 [429524aa] Optim v1.12.0 [bac558e1] OrderedCollections v1.8.0 [d96e819e] Parameters v0.12.3 [a1b829d7] PolaronMobility v2.0.1 [1d0040c9] PolyesterWeave v0.2.2 [85a6dd25] PositiveFactorizations v0.2.4 ⌅ [aea7be01] PrecompileTools v1.2.1 [21216c6a] Preferences v1.4.3 [43287f4e] PtrArrays v1.3.0 [1fd47b50] QuadGK v2.11.2 [189a3867] Reexport v1.2.2 [b873ce64] ReplMaker v0.2.7 [ae029012] Requires v1.3.1 [94e857df] SIMDTypes v0.1.0 [476501e8] SLEEFPirates v0.6.43 [efcf1570] Setfield v1.1.2 [a2af1166] SortingAlgorithms v1.2.1 [276daf66] SpecialFunctions v2.5.0 [aedffcd0] Static v1.2.0 [0d7ed370] StaticArrayInterface v1.8.0 [1e83bf80] StaticArraysCore v1.4.3 [10745b16] Statistics v1.11.1 [82ae8749] StatsAPI v1.7.0 [2913bbd2] StatsBase v0.34.4 [d2514e9c] StructC14N v0.3.1 [62fd8b95] TensorCore v0.1.1 [8290d209] ThreadingUtilities v0.5.2 [bc48ee85] Tullio v0.3.8 [3a884ed6] UnPack v1.0.2 [3d5dd08c] VectorizationBase v0.21.71 [0b7ba130] Blosc_jll v1.21.7+0 [0234f1f7] HDF5_jll v1.14.6+0 [e33a78d0] Hwloc_jll v2.12.0+0 [5ced341a] Lz4_jll v1.10.1+0 [7cb0a576] MPICH_jll v4.3.0+1 [f1f71cc9] MPItrampoline_jll v5.5.3+0 [9237b28f] MicrosoftMPI_jll v10.1.4+3 [fe0851c0] OpenMPI_jll v5.0.7+2 [458c3c95] OpenSSL_jll v3.0.16+0 [efe28fd5] OpenSpecFun_jll v0.5.6+0 [3161d3a3] Zstd_jll v1.5.7+1 [477f73a3] libaec_jll v1.1.3+0 [0dad84c5] ArgTools v1.1.2 [56f22d72] Artifacts v1.11.0 [2a0f44e3] Base64 v1.11.0 [ade2ca70] Dates v1.11.0 [8ba89e20] Distributed v1.11.0 [f43a241f] Downloads v1.6.0 [7b1f6079] FileWatching v1.11.0 [9fa8497b] Future v1.11.0 [b77e0a4c] InteractiveUtils v1.11.0 [4af54fe1] LazyArtifacts v1.11.0 [b27032c2] LibCURL v0.6.4 [76f85450] LibGit2 v1.11.0 [8f399da3] Libdl v1.11.0 [37e2e46d] LinearAlgebra v1.11.0 [56ddb016] Logging v1.11.0 [d6f4376e] Markdown v1.11.0 [a63ad114] Mmap v1.11.0 [ca575930] NetworkOptions v1.2.0 [44cfe95a] Pkg v1.11.0 [de0858da] Printf v1.11.0 [3fa0cd96] REPL v1.11.0 [9a3f8284] Random v1.11.0 [ea8e919c] SHA v0.7.0 [9e88b42a] Serialization v1.11.0 [6462fe0b] Sockets v1.11.0 [2f01184e] SparseArrays v1.11.0 [f489334b] StyledStrings v1.11.0 [fa267f1f] TOML v1.0.3 [a4e569a6] Tar v1.10.0 [8dfed614] Test v1.11.0 [cf7118a7] UUIDs v1.11.0 [4ec0a83e] Unicode v1.11.0 [e66e0078] CompilerSupportLibraries_jll v1.1.1+0 [deac9b47] LibCURL_jll v8.6.0+0 [e37daf67] LibGit2_jll v1.7.2+0 [29816b5a] LibSSH2_jll v1.11.0+1 [c8ffd9c3] MbedTLS_jll v2.28.6+0 [14a3606d] MozillaCACerts_jll v2023.12.12 [4536629a] OpenBLAS_jll v0.3.27+1 [05823500] OpenLibm_jll v0.8.5+0 [bea87d4a] SuiteSparse_jll v7.7.0+0 [83775a58] Zlib_jll v1.2.13+1 [8e850b90] libblastrampoline_jll v5.11.0+0 [8e850ede] nghttp2_jll v1.59.0+0 [3f19e933] p7zip_jll v17.4.0+2 Info Packages marked with ⌃ and ⌅ have new versions available. Those with ⌃ may be upgradable, but those with ⌅ are restricted by compatibility constraints from upgrading. Testing Running tests... Alpha-parameter, Cross check 'frohlichalpha()' fn vs. literature values. NaCl Frohlich paper, α=5.262434397679507 should be ~about 5 (Feynman1955) CdTe α=0.35054915310975776 Stone 0.39 / Devreese 0.29 GaAs α=0.07082071131530161 Devreese 0.068 FeynmanAthermal Tests - check athermal feynmanvw(α) -> v,w literature values. α=3.0 v=3.4212947593223095 w=2.5603026286554895 E=-3.1333335181887456 | Schultz: v=3.44 w=2.55 E=-3.1333 α=5.0 v=4.03434377309112 w=2.140018273220372 E=-5.440144454909007 | Schultz: v=4.02 w=2.13 E=-5.4401 α=7.0 v=5.809889008929129 w=1.6036523880588403 E=-8.112687479384814 | Schultz: v=5.81 w=1.6 E=-8.1127 α=9.0 v=9.850249622060067 w=1.2822986369799954 E=-11.48578616514083 | Schultz: v=9.85 w=1.28 E=-11.486 α=11.0 v=15.41323557956608 w=1.1620941380583287 E=-15.709808319601473 | Schultz: v=15.5 w=1.15 E=-15.71 MAPI: BScheme (athermal) MAPI: (all values) Hellwarth B Scheme... (athermal) Hellwarth (58) summation: 0.03850937348433297 Hellwarth (59) summation (total ir activity ^2): 3.877345891232092 Hellwarth (59) W_e (total ir activity ): 1.9690977353173946 Hellwarth (61) Omega (freq): 10.034229876494393 MAPI: (low-frequency, non molecular IR, only) Hellwarth B Scheme... (athermal) Hellwarth (58) summation: 0.03803673767058733 Hellwarth (59) summation (total ir activity ^2): 0.19283002835623678 Hellwarth (59) W_e (total ir activity ): 0.4391241605243747 Hellwarth (61) Omega (freq): 2.251571287857919 2.251571287857919 ~= 2.25 THz Hellwarth1999 (party like it's) Hellwarth B scheme... Hellwarth data... Hellwarth B Scheme... (athermal) Hellwarth (58) summation: 0.15505835776181887 Hellwarth (59) summation (total ir activity ^2): 38777.7725 Hellwarth (59) W_e (total ir activity ): 196.92072643579192 Hellwarth (61) Omega (freq): 500.08501275972833 500.08501275972833 ~= W 196.9 cm^-1 Ω = 500 cm^-1 Hellwarth A scheme T=0... Hellwarth data... Hellwarth A scheme T=295... Hellwarth data... 834.5299993217177 ~= W 196.9 cm^-1 Ω = 504 cm^-1 Polaron mobility for system ε_Inf=4.5, ε_S=24.1, freq=2.25, effectivemass=0.12; with Trange 300 ... Polaron mobility input parameters: ε_Inf=4.500000 ε_S=24.100000 freq=2.25 α=2.393991 Derived params in SI: ω =1.41372e+13 mb=1.09313e-31 T: 300.000000 β: 2.41e+20 βred: 0.36 ħω = 9.31 meV Polaron Parameters: v= 19.8613 w= 16.9599 || M=0.371417 k=106.833736 Bare-band effective mass: 0.120000 Polaron effective mass: 0.164570 Polaron mass enhancement: 37.141672% Polaron frequency (SI) v= 4.5e+13 Hz w= 3.8e+13 Hz Polaron size (rf), following Schultz1959. (s.d. of Gaussian polaron ψ ) Schultz1959(2.4): rf= 0.528075 (int units) = 2.68001e-09 m [SI] Polaron Free Energy: A= -6.448795 B= 7.355626 C= 2.911957 F= -3.818788 = -35.534786 meV Polaron Mobility theories: μ(FHIP)= 0.082049 m^2/Vs = 820.49 cm^2/Vs μ(Kadanoff,via Devreese2016)= 0.019689 m^2/Vs = 196.89 cm^2/Vs Eqm. Phonon. pop. Nbar: 2.308150 Gamma0 = 5.42821e+13 rad/s = 8.63927e+12 /s Tau=1/Gamma0 = 1.1575e-13 s = 0.115750 ps Energy Loss = 1.288e-08 J/s = 80.3906 meV/ps μ(Hellwarth1999)= 0.013642 m^2/Vs = 136.42 cm^2/Vs Polaron mobility for system ε_Inf=4.5, ε_S=24.1, freq=2.25, effectivemass=0.15; with Trange 300 ... Polaron mobility input parameters: ε_Inf=4.500000 ε_S=24.100000 freq=2.25 α=2.676564 Derived params in SI: ω =1.41372e+13 mb=1.36641e-31 T: 300.000000 β: 2.41e+20 βred: 0.36 ħω = 9.31 meV Polaron Parameters: v= 20.0949 w= 16.8163 || M=0.427946 k=121.017848 Bare-band effective mass: 0.150000 Polaron effective mass: 0.214192 Polaron mass enhancement: 42.794606% Polaron frequency (SI) v= 4.5e+13 Hz w= 3.8e+13 Hz Polaron size (rf), following Schultz1959. (s.d. of Gaussian polaron ψ ) Schultz1959(2.4): rf= 0.499073 (int units) = 2.53282e-09 m [SI] Polaron Free Energy: A= -6.847789 B= 8.262480 C= 3.274344 F= -4.689034 = -43.632641 meV Polaron Mobility theories: μ(FHIP)= 0.055401 m^2/Vs = 554.01 cm^2/Vs μ(Kadanoff,via Devreese2016)= 0.013294 m^2/Vs = 132.94 cm^2/Vs Eqm. Phonon. pop. Nbar: 2.308150 Gamma0 = 6.17669e+13 rad/s = 9.83051e+12 /s Tau=1/Gamma0 = 1.01724e-13 s = 0.101724 ps Energy Loss = 1.4656e-08 J/s = 91.4754 meV/ps μ(Hellwarth1999)= 0.009415 m^2/Vs = 94.15 cm^2/Vs Mode f= 9.620813558773261e13 S= 7.723606924025071e-12 ϵ_mode = 0.003197599892656743 Mode f= 9.313630357703362e13 S= 2.6495559629507004e-11 ϵ_mode = 0.01170476386358134 Mode f= 9.287834578121567e13 S= 9.291977946290015e-12 ϵ_mode = 0.004127687226799991 Mode f= 9.24847918585963e13 S= 9.001387252092306e-14 ϵ_mode = 4.0327040708396766e-5 Mode f= 9.226701437594755e13 S= 1.554987106174904e-12 ϵ_mode = 0.0006999409641478065 Mode f= 8.943972834606603e13 S= 9.706325251934625e-14 ϵ_mode = 4.6496627290438624e-5 Mode f= 4.689209141511332e13 S= 3.804211177812684e-12 ϵ_mode = 0.006629686098476688 Mode f= 4.6420949316788e13 S= 2.191152965812504e-12 ϵ_mode = 0.0038964778910864006 Mode f= 4.40380222871706e13 S= 3.071938535552375e-12 ϵ_mode = 0.006069940901336841 Mode f= 4.289702947649343e13 S= 1.7251761645612759e-13 ϵ_mode = 0.0003592580970707718 Mode f= 4.267180170168193e13 S= 3.953938326360833e-13 ϵ_mode = 0.0008320999293971226 Mode f= 4.146971205834201e13 S= 1.9408693798505715e-13 ϵ_mode = 0.0004324758124833798 Mode f= 3.708982543385215e13 S= 1.6616238361061553e-14 ϵ_mode = 4.6286110685222276e-5 Mode f= 3.653555265689563e13 S= 3.2879625756246616e-13 ϵ_mode = 0.0009438936361275596 Mode f= 3.020608114002676e13 S= 1.3942902675037023e-13 ϵ_mode = 0.000585587747396971 Mode f= 2.7374810898415027e13 S= 6.174886854696194e-13 ϵ_mode = 0.003157579568144048 Mode f= 2.6363055017011727e13 S= 7.747756676536631e-13 ϵ_mode = 0.004271811254443362 Mode f= 9.52296689002204e12 S= 1.1691667388269285e-14 ϵ_mode = 0.000494036979328779 Mode f= 4.016471586720514e12 S= 1.2628065886217153e-12 ϵ_mode = 0.2999680470756664 Mode f= 3.887605410774121e12 S= 9.756966447388084e-14 ϵ_mode = 0.024738764724456908 Mode f= 3.5313112232401514e12 S= 8.275864451553592e-13 ϵ_mode = 0.2543132184018061 Mode f= 2.755392921480459e12 S= 3.2931597692967454e-13 ϵ_mode = 0.16621617310133843 Mode f= 2.4380741812443247e12 S= 3.5806541391210127e-12 ϵ_mode = 2.30832044225063 Mode f= 2.249091763771941e12 S= 4.053573379503351e-12 ϵ_mode = 3.0707979601813267 Mode f= 2.0796321906344238e12 S= 3.614588085764765e-12 ϵ_mode = 3.202678208748641 Mode f= 2.0336707697261187e12 S= 9.634444739534602e-13 ϵ_mode = 0.8926741356249585 Mode f= 1.5673011873879714e12 S= 5.680525175246478e-13 ϵ_mode = 0.886157909677185 Mode f= 1.0188379384951798e12 S= 1.952875053924659e-13 ϵ_mode = 0.720927837575683 Mode f= 1.0022960504442775e12 S= 1.053872183458471e-13 ϵ_mode = 0.4019975980581907 Mode f= 9.970130778462072e11 S= 1.603958033796916e-13 ϵ_mode = 0.6183279038315279 Mode f= 9.20178190638621e11 S= 1.693976229936448e-13 ϵ_mode = 0.7666391525823295 Mode f= 8.00604081794174e11 S= 2.601732864812103e-14 ϵ_mode = 0.15554449941473789 Mode f= 5.738689505255511e11 S= 9.992912852482586e-14 ϵ_mode = 1.1627710200840813 Raw ionic dielectric contribution: 1.3262945650090132e-10 absolute 14.979608820973722 relative Sum of ionic dielectric: 19.479608820973723 Notable Mode f= 2.4380741812443247e12 α_partial=0.33509445526579384 Notable Mode f= 2.249091763771941e12 α_partial=0.46413279655805495 Notable Mode f= 2.0796321906344238e12 α_partial=0.5034016572517709 Notable Mode f= 2.0336707697261187e12 α_partial=0.14188851068346853 Notable Mode f= 1.5673011873879714e12 α_partial=0.16044621957165453 Notable Mode f= 1.0188379384951798e12 α_partial=0.16189515169321733 Notable Mode f= 9.970130778462072e11 α_partial=0.14036635422200763 Notable Mode f= 9.20178190638621e11 α_partial=0.18115470952505333 Notable Mode f= 5.738689505255511e11 α_partial=0.3479224374216951 Sum alpha: 2.658367465100708 [0.003197599892656743, 0.01170476386358134, 0.004127687226799991, 4.0327040708396766e-5, 0.0006999409641478065, 4.6496627290438624e-5, 0.006629686098476688, 0.0038964778910864006, 0.006069940901336841, 0.0003592580970707718, 0.0008320999293971226, 0.0004324758124833798, 4.6286110685222276e-5, 0.0009438936361275596, 0.000585587747396971, 0.003157579568144048, 0.004271811254443362, 0.000494036979328779, 0.2999680470756664, 0.024738764724456908, 0.2543132184018061, 0.16621617310133843, 2.30832044225063, 3.0707979601813267, 3.202678208748641, 0.8926741356249585, 0.886157909677185, 0.720927837575683, 0.4019975980581907, 0.6183279038315279, 0.7666391525823295, 0.15554449941473789, 1.1627710200840813] Sum of dieletric: 14.979608820973718 f_dielectric: [96.20813558773261 0.003197599892656743; 93.13630357703363 0.01170476386358134; 92.87834578121567 0.004127687226799991; 92.4847918585963 4.0327040708396766e-5; 92.26701437594754 0.0006999409641478065; 89.43972834606603 4.6496627290438624e-5; 46.89209141511332 0.006629686098476688; 46.420949316788 0.0038964778910864006; 44.0380222871706 0.006069940901336841; 42.89702947649343 0.0003592580970707718; 42.67180170168193 0.0008320999293971226; 41.46971205834201 0.0004324758124833798; 37.08982543385215 4.6286110685222276e-5; 36.53555265689563 0.0009438936361275596; 30.20608114002676 0.000585587747396971; 27.374810898415028 0.003157579568144048; 26.363055017011728 0.004271811254443362; 9.522966890022039 0.000494036979328779; 4.016471586720514 0.2999680470756664; 3.887605410774121 0.024738764724456908; 3.5313112232401513 0.2543132184018061; 2.755392921480459 0.16621617310133843; 2.4380741812443247 2.30832044225063; 2.2490917637719408 3.0707979601813267; 2.079632190634424 3.202678208748641; 2.0336707697261187 0.8926741356249585; 1.5673011873879714 0.886157909677185; 1.0188379384951798 0.720927837575683; 1.0022960504442775 0.4019975980581907; 0.9970130778462072 0.6183279038315279; 0.9201781906386209 0.7666391525823295; 0.800604081794174 0.15554449941473789; 0.5738689505255512 1.1627710200840813] alphas: [7.389462051386758e-5, 0.0002749145713821301, 9.708321441191962e-5, 9.505080375962823e-7, 1.6517061251345844e-5, 1.114424927382452e-6, 0.00021945110210399964, 0.00012963127999228034, 0.0002073314385385364, 1.2433332766575337e-5, 2.8873510988565086e-5, 1.5222672885023485e-5, 1.7227326973380205e-6, 3.539645908910315e-5, 2.4151237601918422e-5, 0.00013679598189516432, 0.00018858571355890655, 3.628840853972888e-5, 0.03392713976597602, 0.002844012645621295, 0.030675774631332458, 0.0226974000138017, 0.335094455265794, 0.4641327965580552, 0.5034016572517711, 0.14188851068346858, 0.1604462195716546, 0.1618951516932174, 0.09101648313840206, 0.1403663542220077, 0.18115470952505344, 0.0394040044416773, 0.3479224374216953] sum alphas: 2.65836746510071 Feynman v,w for alphas: [(137168.5207158215, 137168.52059535214), (5.551039873683793e6, 5.551039855898483e6), (9.562298920370748e8, 9.562298918151665e8), (1.0123133075747406e9, 1.0123133024464242e9), (1.2196323243114962e8, 1.2196323236387616e8), (4.277813557128505e7, 4.27781355319837e7), (1.5142638234166931e7, 1.5142638208657434e7), (6.016046995576993e7, 6.016046990636308e7), (1.4175221821927583e9, 1.4175221769862533e9), (1.8668405081752628e8, 1.866840507205715e8), (1.4708594200571463e8, 1.470859419228449e8), (1.011445789195346e9, 1.0114457888356382e9), (2.2065608067293667e10, 2.2065607997443134e10), (1.9149329237526295e8, 1.9149329220200178e8), (2.3807791824683545e12, 2.3807791817375825e12), (8.307713151531449e7, 8.307713145523052e7), (1.6837733578200493e7, 1.68377335543971e7), (3.383969003488924e6, 3.3839689926233157e6), (3.007566021345938, 3.0000039590711003), (5.42958527126791e7, 5.429585265262136e7), (3.0068405380684093, 3.000005145299188), (3.0023105698925643, 2.9972588534678635), (3.034402340824285, 2.958184084650002), (3.0482353497516192, 2.941688023041604), (3.0525137798599564, 2.9366231256497164), (3.01431181883936, 2.982472692361902), (3.0162103349515674, 2.980160631464749), (3.0163588340820024, 2.9799799229295783), (3.0091399917172144, 2.9887878473323437), (3.0141563817204244, 2.9826621369119506), (3.018336528439082, 2.977575382354767), (3.008789028565784, 3.00000195648232), (3.0357622816512104, 2.9565541669380035)] Specify mobility problem: Any[7.389462051386758e-5 (137168.5207158215, 137168.52059535214) 96.20813558773261; 0.0002749145713821301 (5.551039873683793e6, 5.551039855898483e6) 93.13630357703363; 9.708321441191962e-5 (9.562298920370748e8, 9.562298918151665e8) 92.87834578121567; 9.505080375962823e-7 (1.0123133075747406e9, 1.0123133024464242e9) 92.4847918585963; 1.6517061251345844e-5 (1.2196323243114962e8, 1.2196323236387616e8) 92.26701437594754; 1.114424927382452e-6 (4.277813557128505e7, 4.27781355319837e7) 89.43972834606603; 0.00021945110210399964 (1.5142638234166931e7, 1.5142638208657434e7) 46.89209141511332; 0.00012963127999228034 (6.016046995576993e7, 6.016046990636308e7) 46.420949316788; 0.0002073314385385364 (1.4175221821927583e9, 1.4175221769862533e9) 44.0380222871706; 1.2433332766575337e-5 (1.8668405081752628e8, 1.866840507205715e8) 42.89702947649343; 2.8873510988565086e-5 (1.4708594200571463e8, 1.470859419228449e8) 42.67180170168193; 1.5222672885023485e-5 (1.011445789195346e9, 1.0114457888356382e9) 41.46971205834201; 1.7227326973380205e-6 (2.2065608067293667e10, 2.2065607997443134e10) 37.08982543385215; 3.539645908910315e-5 (1.9149329237526295e8, 1.9149329220200178e8) 36.53555265689563; 2.4151237601918422e-5 (2.3807791824683545e12, 2.3807791817375825e12) 30.20608114002676; 0.00013679598189516432 (8.307713151531449e7, 8.307713145523052e7) 27.374810898415028; 0.00018858571355890655 (1.6837733578200493e7, 1.68377335543971e7) 26.363055017011728; 3.628840853972888e-5 (3.383969003488924e6, 3.3839689926233157e6) 9.522966890022039; 0.03392713976597602 (3.007566021345938, 3.0000039590711003) 4.016471586720514; 0.002844012645621295 (5.42958527126791e7, 5.429585265262136e7) 3.887605410774121; 0.030675774631332458 (3.0068405380684093, 3.000005145299188) 3.5313112232401513; 0.0226974000138017 (3.0023105698925643, 2.9972588534678635) 2.755392921480459; 0.335094455265794 (3.034402340824285, 2.958184084650002) 2.4380741812443247; 0.4641327965580552 (3.0482353497516192, 2.941688023041604) 2.2490917637719408; 0.5034016572517711 (3.0525137798599564, 2.9366231256497164) 2.079632190634424; 0.14188851068346858 (3.01431181883936, 2.982472692361902) 2.0336707697261187; 0.1604462195716546 (3.0162103349515674, 2.980160631464749) 1.5673011873879714; 0.1618951516932174 (3.0163588340820024, 2.9799799229295783) 1.0188379384951798; 0.09101648313840206 (3.0091399917172144, 2.9887878473323437) 1.0022960504442775; 0.1403663542220077 (3.0141563817204244, 2.9826621369119506) 0.9970130778462072; 0.18115470952505344 (3.018336528439082, 2.977575382354767) 0.9201781906386209; 0.0394040044416773 (3.008789028565784, 3.00000195648232) 0.800604081794174; 0.3479224374216953 (3.0357622816512104, 2.9565541669380035) 0.5738689505255512] μ(Hellwarth1999)= 0.018922 m^2/Vs = 189.22 cm^2/Vs [47.3902666004378, 158.75739311146666] Sum of dieletric: 206.14765971190445 T= 10 μ(Hellwarth1999)= 0.073040 m^2/Vs = 730.40 cm^2/Vs T= 11 μ(Hellwarth1999)= 0.062213 m^2/Vs = 622.13 cm^2/Vs T= 12 μ(Hellwarth1999)= 0.054707 m^2/Vs = 547.07 cm^2/Vs T= 13 μ(Hellwarth1999)= 0.049287 m^2/Vs = 492.87 cm^2/Vs T= 14 μ(Hellwarth1999)= 0.045243 m^2/Vs = 452.43 cm^2/Vs T= 15 μ(Hellwarth1999)= 0.042141 m^2/Vs = 421.41 cm^2/Vs T= 16 μ(Hellwarth1999)= 0.039706 m^2/Vs = 397.06 cm^2/Vs T= 17 μ(Hellwarth1999)= 0.037755 m^2/Vs = 377.55 cm^2/Vs T= 18 μ(Hellwarth1999)= 0.036165 m^2/Vs = 361.65 cm^2/Vs T= 19 μ(Hellwarth1999)= 0.034848 m^2/Vs = 348.48 cm^2/Vs T= 20 μ(Hellwarth1999)= 0.033742 m^2/Vs = 337.42 cm^2/Vs T= 21 μ(Hellwarth1999)= 0.032801 m^2/Vs = 328.01 cm^2/Vs T= 22 μ(Hellwarth1999)= 0.031992 m^2/Vs = 319.92 cm^2/Vs T= 23 μ(Hellwarth1999)= 0.031289 m^2/Vs = 312.89 cm^2/Vs T= 24 μ(Hellwarth1999)= 0.030671 m^2/Vs = 306.71 cm^2/Vs T= 25 μ(Hellwarth1999)= 0.030123 m^2/Vs = 301.23 cm^2/Vs T= 26 μ(Hellwarth1999)= 0.029634 m^2/Vs = 296.34 cm^2/Vs T= 27 μ(Hellwarth1999)= 0.029193 m^2/Vs = 291.93 cm^2/Vs T= 28 μ(Hellwarth1999)= 0.028793 m^2/Vs = 287.93 cm^2/Vs T= 29 μ(Hellwarth1999)= 0.028427 m^2/Vs = 284.27 cm^2/Vs T= 30 μ(Hellwarth1999)= 0.028091 m^2/Vs = 280.91 cm^2/Vs T= 31 μ(Hellwarth1999)= 0.027779 m^2/Vs = 277.79 cm^2/Vs T= 32 μ(Hellwarth1999)= 0.027489 m^2/Vs = 274.89 cm^2/Vs T= 33 μ(Hellwarth1999)= 0.027218 m^2/Vs = 272.18 cm^2/Vs T= 34 μ(Hellwarth1999)= 0.026963 m^2/Vs = 269.63 cm^2/Vs T= 35 μ(Hellwarth1999)= 0.026721 m^2/Vs = 267.21 cm^2/Vs T= 36 μ(Hellwarth1999)= 0.026492 m^2/Vs = 264.92 cm^2/Vs T= 37 μ(Hellwarth1999)= 0.026274 m^2/Vs = 262.74 cm^2/Vs T= 38 μ(Hellwarth1999)= 0.026065 m^2/Vs = 260.65 cm^2/Vs T= 39 μ(Hellwarth1999)= 0.025865 m^2/Vs = 258.65 cm^2/Vs T= 40 μ(Hellwarth1999)= 0.025672 m^2/Vs = 256.72 cm^2/Vs T= 41 μ(Hellwarth1999)= 0.025486 m^2/Vs = 254.86 cm^2/Vs T= 42 μ(Hellwarth1999)= 0.025306 m^2/Vs = 253.06 cm^2/Vs T= 43 μ(Hellwarth1999)= 0.025132 m^2/Vs = 251.32 cm^2/Vs T= 44 μ(Hellwarth1999)= 0.024962 m^2/Vs = 249.62 cm^2/Vs T= 45 μ(Hellwarth1999)= 0.024797 m^2/Vs = 247.97 cm^2/Vs T= 46 μ(Hellwarth1999)= 0.024636 m^2/Vs = 246.36 cm^2/Vs T= 47 μ(Hellwarth1999)= 0.024479 m^2/Vs = 244.79 cm^2/Vs T= 48 μ(Hellwarth1999)= 0.024325 m^2/Vs = 243.25 cm^2/Vs T= 49 μ(Hellwarth1999)= 0.024175 m^2/Vs = 241.75 cm^2/Vs T= 50 μ(Hellwarth1999)= 0.024028 m^2/Vs = 240.28 cm^2/Vs T= 51 μ(Hellwarth1999)= 0.023883 m^2/Vs = 238.83 cm^2/Vs T= 52 μ(Hellwarth1999)= 0.023741 m^2/Vs = 237.41 cm^2/Vs T= 53 μ(Hellwarth1999)= 0.023602 m^2/Vs = 236.02 cm^2/Vs T= 54 μ(Hellwarth1999)= 0.023465 m^2/Vs = 234.65 cm^2/Vs T= 55 μ(Hellwarth1999)= 0.023330 m^2/Vs = 233.30 cm^2/Vs T= 56 μ(Hellwarth1999)= 0.023197 m^2/Vs = 231.97 cm^2/Vs T= 57 μ(Hellwarth1999)= 0.023067 m^2/Vs = 230.67 cm^2/Vs T= 58 μ(Hellwarth1999)= 0.022938 m^2/Vs = 229.38 cm^2/Vs T= 59 μ(Hellwarth1999)= 0.022812 m^2/Vs = 228.12 cm^2/Vs T= 60 μ(Hellwarth1999)= 0.022687 m^2/Vs = 226.87 cm^2/Vs T= 61 μ(Hellwarth1999)= 0.022564 m^2/Vs = 225.64 cm^2/Vs T= 62 μ(Hellwarth1999)= 0.022443 m^2/Vs = 224.43 cm^2/Vs T= 63 μ(Hellwarth1999)= 0.022323 m^2/Vs = 223.23 cm^2/Vs T= 64 μ(Hellwarth1999)= 0.022205 m^2/Vs = 222.05 cm^2/Vs T= 65 μ(Hellwarth1999)= 0.022089 m^2/Vs = 220.89 cm^2/Vs T= 66 μ(Hellwarth1999)= 0.021974 m^2/Vs = 219.74 cm^2/Vs T= 67 μ(Hellwarth1999)= 0.021861 m^2/Vs = 218.61 cm^2/Vs T= 68 μ(Hellwarth1999)= 0.021749 m^2/Vs = 217.49 cm^2/Vs T= 69 μ(Hellwarth1999)= 0.021639 m^2/Vs = 216.39 cm^2/Vs T= 70 μ(Hellwarth1999)= 0.021530 m^2/Vs = 215.30 cm^2/Vs T= 71 μ(Hellwarth1999)= 0.021423 m^2/Vs = 214.23 cm^2/Vs T= 72 μ(Hellwarth1999)= 0.021317 m^2/Vs = 213.17 cm^2/Vs T= 73 μ(Hellwarth1999)= 0.021212 m^2/Vs = 212.12 cm^2/Vs T= 74 μ(Hellwarth1999)= 0.021109 m^2/Vs = 211.09 cm^2/Vs T= 75 μ(Hellwarth1999)= 0.021007 m^2/Vs = 210.07 cm^2/Vs T= 76 μ(Hellwarth1999)= 0.020906 m^2/Vs = 209.06 cm^2/Vs T= 77 μ(Hellwarth1999)= 0.020807 m^2/Vs = 208.07 cm^2/Vs T= 78 μ(Hellwarth1999)= 0.020708 m^2/Vs = 207.08 cm^2/Vs T= 79 μ(Hellwarth1999)= 0.020611 m^2/Vs = 206.11 cm^2/Vs T= 80 μ(Hellwarth1999)= 0.020516 m^2/Vs = 205.16 cm^2/Vs T= 81 μ(Hellwarth1999)= 0.020421 m^2/Vs = 204.21 cm^2/Vs T= 82 μ(Hellwarth1999)= 0.020328 m^2/Vs = 203.28 cm^2/Vs T= 83 μ(Hellwarth1999)= 0.020235 m^2/Vs = 202.35 cm^2/Vs T= 84 μ(Hellwarth1999)= 0.020144 m^2/Vs = 201.44 cm^2/Vs T= 85 μ(Hellwarth1999)= 0.020054 m^2/Vs = 200.54 cm^2/Vs T= 86 μ(Hellwarth1999)= 0.019965 m^2/Vs = 199.65 cm^2/Vs T= 87 μ(Hellwarth1999)= 0.019877 m^2/Vs = 198.77 cm^2/Vs T= 88 μ(Hellwarth1999)= 0.019791 m^2/Vs = 197.91 cm^2/Vs T= 89 μ(Hellwarth1999)= 0.019705 m^2/Vs = 197.05 cm^2/Vs T= 90 μ(Hellwarth1999)= 0.019620 m^2/Vs = 196.20 cm^2/Vs T= 91 μ(Hellwarth1999)= 0.019537 m^2/Vs = 195.37 cm^2/Vs T= 92 μ(Hellwarth1999)= 0.019454 m^2/Vs = 194.54 cm^2/Vs T= 93 μ(Hellwarth1999)= 0.019372 m^2/Vs = 193.72 cm^2/Vs T= 94 μ(Hellwarth1999)= 0.019292 m^2/Vs = 192.92 cm^2/Vs T= 95 μ(Hellwarth1999)= 0.019212 m^2/Vs = 192.12 cm^2/Vs T= 96 μ(Hellwarth1999)= 0.019133 m^2/Vs = 191.33 cm^2/Vs T= 97 μ(Hellwarth1999)= 0.019055 m^2/Vs = 190.55 cm^2/Vs T= 98 μ(Hellwarth1999)= 0.018978 m^2/Vs = 189.78 cm^2/Vs T= 99 μ(Hellwarth1999)= 0.018902 m^2/Vs = 189.02 cm^2/Vs T= 100 μ(Hellwarth1999)= 0.018827 m^2/Vs = 188.27 cm^2/Vs T= 101 μ(Hellwarth1999)= 0.018753 m^2/Vs = 187.53 cm^2/Vs T= 102 μ(Hellwarth1999)= 0.018679 m^2/Vs = 186.79 cm^2/Vs T= 103 μ(Hellwarth1999)= 0.018606 m^2/Vs = 186.06 cm^2/Vs T= 104 μ(Hellwarth1999)= 0.018535 m^2/Vs = 185.35 cm^2/Vs T= 105 μ(Hellwarth1999)= 0.018464 m^2/Vs = 184.64 cm^2/Vs T= 106 μ(Hellwarth1999)= 0.018394 m^2/Vs = 183.94 cm^2/Vs T= 107 μ(Hellwarth1999)= 0.018324 m^2/Vs = 183.24 cm^2/Vs T= 108 μ(Hellwarth1999)= 0.018255 m^2/Vs = 182.55 cm^2/Vs T= 109 μ(Hellwarth1999)= 0.018188 m^2/Vs = 181.88 cm^2/Vs T= 110 μ(Hellwarth1999)= 0.018121 m^2/Vs = 181.21 cm^2/Vs T= 111 μ(Hellwarth1999)= 0.018054 m^2/Vs = 180.54 cm^2/Vs T= 112 μ(Hellwarth1999)= 0.017989 m^2/Vs = 179.89 cm^2/Vs T= 113 μ(Hellwarth1999)= 0.017924 m^2/Vs = 179.24 cm^2/Vs T= 114 μ(Hellwarth1999)= 0.017859 m^2/Vs = 178.59 cm^2/Vs T= 115 μ(Hellwarth1999)= 0.017796 m^2/Vs = 177.96 cm^2/Vs T= 116 μ(Hellwarth1999)= 0.017733 m^2/Vs = 177.33 cm^2/Vs T= 117 μ(Hellwarth1999)= 0.017671 m^2/Vs = 176.71 cm^2/Vs T= 118 μ(Hellwarth1999)= 0.017609 m^2/Vs = 176.09 cm^2/Vs T= 119 μ(Hellwarth1999)= 0.017549 m^2/Vs = 175.49 cm^2/Vs T= 120 μ(Hellwarth1999)= 0.017488 m^2/Vs = 174.88 cm^2/Vs T= 121 μ(Hellwarth1999)= 0.017429 m^2/Vs = 174.29 cm^2/Vs T= 122 μ(Hellwarth1999)= 0.017370 m^2/Vs = 173.70 cm^2/Vs T= 123 μ(Hellwarth1999)= 0.017312 m^2/Vs = 173.12 cm^2/Vs T= 124 μ(Hellwarth1999)= 0.017254 m^2/Vs = 172.54 cm^2/Vs T= 125 μ(Hellwarth1999)= 0.017197 m^2/Vs = 171.97 cm^2/Vs T= 126 μ(Hellwarth1999)= 0.017140 m^2/Vs = 171.40 cm^2/Vs T= 127 μ(Hellwarth1999)= 0.017084 m^2/Vs = 170.84 cm^2/Vs T= 128 μ(Hellwarth1999)= 0.017029 m^2/Vs = 170.29 cm^2/Vs T= 129 μ(Hellwarth1999)= 0.016974 m^2/Vs = 169.74 cm^2/Vs T= 130 μ(Hellwarth1999)= 0.016920 m^2/Vs = 169.20 cm^2/Vs T= 131 μ(Hellwarth1999)= 0.016866 m^2/Vs = 168.66 cm^2/Vs T= 132 μ(Hellwarth1999)= 0.016813 m^2/Vs = 168.13 cm^2/Vs T= 133 μ(Hellwarth1999)= 0.016760 m^2/Vs = 167.60 cm^2/Vs T= 134 μ(Hellwarth1999)= 0.016708 m^2/Vs = 167.08 cm^2/Vs T= 135 μ(Hellwarth1999)= 0.016656 m^2/Vs = 166.56 cm^2/Vs T= 136 μ(Hellwarth1999)= 0.016605 m^2/Vs = 166.05 cm^2/Vs T= 137 μ(Hellwarth1999)= 0.016554 m^2/Vs = 165.54 cm^2/Vs T= 138 μ(Hellwarth1999)= 0.016504 m^2/Vs = 165.04 cm^2/Vs T= 139 μ(Hellwarth1999)= 0.016454 m^2/Vs = 164.54 cm^2/Vs T= 140 μ(Hellwarth1999)= 0.016405 m^2/Vs = 164.05 cm^2/Vs T= 141 μ(Hellwarth1999)= 0.016356 m^2/Vs = 163.56 cm^2/Vs T= 142 μ(Hellwarth1999)= 0.016308 m^2/Vs = 163.08 cm^2/Vs T= 143 μ(Hellwarth1999)= 0.016260 m^2/Vs = 162.60 cm^2/Vs T= 144 μ(Hellwarth1999)= 0.016213 m^2/Vs = 162.13 cm^2/Vs T= 145 μ(Hellwarth1999)= 0.016166 m^2/Vs = 161.66 cm^2/Vs T= 146 μ(Hellwarth1999)= 0.016119 m^2/Vs = 161.19 cm^2/Vs T= 147 μ(Hellwarth1999)= 0.016073 m^2/Vs = 160.73 cm^2/Vs T= 148 μ(Hellwarth1999)= 0.016028 m^2/Vs = 160.28 cm^2/Vs T= 149 μ(Hellwarth1999)= 0.015982 m^2/Vs = 159.82 cm^2/Vs T= 150 μ(Hellwarth1999)= 0.015938 m^2/Vs = 159.38 cm^2/Vs T= 151 μ(Hellwarth1999)= 0.015893 m^2/Vs = 158.93 cm^2/Vs T= 152 μ(Hellwarth1999)= 0.015849 m^2/Vs = 158.49 cm^2/Vs T= 153 μ(Hellwarth1999)= 0.015805 m^2/Vs = 158.05 cm^2/Vs T= 154 μ(Hellwarth1999)= 0.015762 m^2/Vs = 157.62 cm^2/Vs T= 155 μ(Hellwarth1999)= 0.015719 m^2/Vs = 157.19 cm^2/Vs T= 156 μ(Hellwarth1999)= 0.015677 m^2/Vs = 156.77 cm^2/Vs T= 157 μ(Hellwarth1999)= 0.015635 m^2/Vs = 156.35 cm^2/Vs T= 158 μ(Hellwarth1999)= 0.015593 m^2/Vs = 155.93 cm^2/Vs T= 159 μ(Hellwarth1999)= 0.015551 m^2/Vs = 155.51 cm^2/Vs T= 160 μ(Hellwarth1999)= 0.015510 m^2/Vs = 155.10 cm^2/Vs T= 161 μ(Hellwarth1999)= 0.015470 m^2/Vs = 154.70 cm^2/Vs T= 162 μ(Hellwarth1999)= 0.015429 m^2/Vs = 154.29 cm^2/Vs T= 163 μ(Hellwarth1999)= 0.015389 m^2/Vs = 153.89 cm^2/Vs T= 164 μ(Hellwarth1999)= 0.015349 m^2/Vs = 153.49 cm^2/Vs T= 165 μ(Hellwarth1999)= 0.015310 m^2/Vs = 153.10 cm^2/Vs T= 166 μ(Hellwarth1999)= 0.015271 m^2/Vs = 152.71 cm^2/Vs T= 167 μ(Hellwarth1999)= 0.015232 m^2/Vs = 152.32 cm^2/Vs T= 168 μ(Hellwarth1999)= 0.015194 m^2/Vs = 151.94 cm^2/Vs T= 169 μ(Hellwarth1999)= 0.015156 m^2/Vs = 151.56 cm^2/Vs T= 170 μ(Hellwarth1999)= 0.015118 m^2/Vs = 151.18 cm^2/Vs T= 171 μ(Hellwarth1999)= 0.015081 m^2/Vs = 150.81 cm^2/Vs T= 172 μ(Hellwarth1999)= 0.015043 m^2/Vs = 150.43 cm^2/Vs T= 173 μ(Hellwarth1999)= 0.015007 m^2/Vs = 150.07 cm^2/Vs T= 174 μ(Hellwarth1999)= 0.014970 m^2/Vs = 149.70 cm^2/Vs T= 175 μ(Hellwarth1999)= 0.014934 m^2/Vs = 149.34 cm^2/Vs T= 176 μ(Hellwarth1999)= 0.014898 m^2/Vs = 148.98 cm^2/Vs T= 177 μ(Hellwarth1999)= 0.014862 m^2/Vs = 148.62 cm^2/Vs T= 178 μ(Hellwarth1999)= 0.014827 m^2/Vs = 148.27 cm^2/Vs T= 179 μ(Hellwarth1999)= 0.014791 m^2/Vs = 147.91 cm^2/Vs T= 180 μ(Hellwarth1999)= 0.014757 m^2/Vs = 147.57 cm^2/Vs T= 181 μ(Hellwarth1999)= 0.014722 m^2/Vs = 147.22 cm^2/Vs T= 182 μ(Hellwarth1999)= 0.014688 m^2/Vs = 146.88 cm^2/Vs T= 183 μ(Hellwarth1999)= 0.014654 m^2/Vs = 146.54 cm^2/Vs T= 184 μ(Hellwarth1999)= 0.014620 m^2/Vs = 146.20 cm^2/Vs T= 185 μ(Hellwarth1999)= 0.014586 m^2/Vs = 145.86 cm^2/Vs T= 186 μ(Hellwarth1999)= 0.014553 m^2/Vs = 145.53 cm^2/Vs T= 187 μ(Hellwarth1999)= 0.014520 m^2/Vs = 145.20 cm^2/Vs T= 188 μ(Hellwarth1999)= 0.014487 m^2/Vs = 144.87 cm^2/Vs T= 189 μ(Hellwarth1999)= 0.014454 m^2/Vs = 144.54 cm^2/Vs T= 190 μ(Hellwarth1999)= 0.014422 m^2/Vs = 144.22 cm^2/Vs T= 191 μ(Hellwarth1999)= 0.014390 m^2/Vs = 143.90 cm^2/Vs T= 192 μ(Hellwarth1999)= 0.014358 m^2/Vs = 143.58 cm^2/Vs T= 193 μ(Hellwarth1999)= 0.014326 m^2/Vs = 143.26 cm^2/Vs T= 194 μ(Hellwarth1999)= 0.014295 m^2/Vs = 142.95 cm^2/Vs T= 195 μ(Hellwarth1999)= 0.014264 m^2/Vs = 142.64 cm^2/Vs T= 196 μ(Hellwarth1999)= 0.014233 m^2/Vs = 142.33 cm^2/Vs T= 197 μ(Hellwarth1999)= 0.014202 m^2/Vs = 142.02 cm^2/Vs T= 198 μ(Hellwarth1999)= 0.014171 m^2/Vs = 141.71 cm^2/Vs T= 199 μ(Hellwarth1999)= 0.014141 m^2/Vs = 141.41 cm^2/Vs T= 200 μ(Hellwarth1999)= 0.014111 m^2/Vs = 141.11 cm^2/Vs T= 201 μ(Hellwarth1999)= 0.014081 m^2/Vs = 140.81 cm^2/Vs T= 202 μ(Hellwarth1999)= 0.014052 m^2/Vs = 140.52 cm^2/Vs T= 203 μ(Hellwarth1999)= 0.014022 m^2/Vs = 140.22 cm^2/Vs T= 204 μ(Hellwarth1999)= 0.013993 m^2/Vs = 139.93 cm^2/Vs T= 205 μ(Hellwarth1999)= 0.013964 m^2/Vs = 139.64 cm^2/Vs T= 206 μ(Hellwarth1999)= 0.013935 m^2/Vs = 139.35 cm^2/Vs T= 207 μ(Hellwarth1999)= 0.013906 m^2/Vs = 139.06 cm^2/Vs T= 208 μ(Hellwarth1999)= 0.013878 m^2/Vs = 138.78 cm^2/Vs T= 209 μ(Hellwarth1999)= 0.013849 m^2/Vs = 138.49 cm^2/Vs T= 210 μ(Hellwarth1999)= 0.013821 m^2/Vs = 138.21 cm^2/Vs T= 211 μ(Hellwarth1999)= 0.013793 m^2/Vs = 137.93 cm^2/Vs T= 212 μ(Hellwarth1999)= 0.013766 m^2/Vs = 137.66 cm^2/Vs T= 213 μ(Hellwarth1999)= 0.013738 m^2/Vs = 137.38 cm^2/Vs T= 214 μ(Hellwarth1999)= 0.013711 m^2/Vs = 137.11 cm^2/Vs T= 215 μ(Hellwarth1999)= 0.013684 m^2/Vs = 136.84 cm^2/Vs T= 216 μ(Hellwarth1999)= 0.013657 m^2/Vs = 136.57 cm^2/Vs T= 217 μ(Hellwarth1999)= 0.013630 m^2/Vs = 136.30 cm^2/Vs T= 218 μ(Hellwarth1999)= 0.013603 m^2/Vs = 136.03 cm^2/Vs T= 219 μ(Hellwarth1999)= 0.013577 m^2/Vs = 135.77 cm^2/Vs T= 220 μ(Hellwarth1999)= 0.013550 m^2/Vs = 135.50 cm^2/Vs T= 221 μ(Hellwarth1999)= 0.013524 m^2/Vs = 135.24 cm^2/Vs T= 222 μ(Hellwarth1999)= 0.013498 m^2/Vs = 134.98 cm^2/Vs T= 223 μ(Hellwarth1999)= 0.013472 m^2/Vs = 134.72 cm^2/Vs T= 224 μ(Hellwarth1999)= 0.013447 m^2/Vs = 134.47 cm^2/Vs T= 225 μ(Hellwarth1999)= 0.013421 m^2/Vs = 134.21 cm^2/Vs T= 226 μ(Hellwarth1999)= 0.013396 m^2/Vs = 133.96 cm^2/Vs T= 227 μ(Hellwarth1999)= 0.013371 m^2/Vs = 133.71 cm^2/Vs T= 228 μ(Hellwarth1999)= 0.013346 m^2/Vs = 133.46 cm^2/Vs T= 229 μ(Hellwarth1999)= 0.013321 m^2/Vs = 133.21 cm^2/Vs T= 230 μ(Hellwarth1999)= 0.013296 m^2/Vs = 132.96 cm^2/Vs T= 231 μ(Hellwarth1999)= 0.013271 m^2/Vs = 132.71 cm^2/Vs T= 232 μ(Hellwarth1999)= 0.013247 m^2/Vs = 132.47 cm^2/Vs T= 233 μ(Hellwarth1999)= 0.013223 m^2/Vs = 132.23 cm^2/Vs T= 234 μ(Hellwarth1999)= 0.013199 m^2/Vs = 131.99 cm^2/Vs T= 235 μ(Hellwarth1999)= 0.013175 m^2/Vs = 131.75 cm^2/Vs T= 236 μ(Hellwarth1999)= 0.013151 m^2/Vs = 131.51 cm^2/Vs T= 237 μ(Hellwarth1999)= 0.013127 m^2/Vs = 131.27 cm^2/Vs T= 238 μ(Hellwarth1999)= 0.013104 m^2/Vs = 131.04 cm^2/Vs T= 239 μ(Hellwarth1999)= 0.013080 m^2/Vs = 130.80 cm^2/Vs T= 240 μ(Hellwarth1999)= 0.013057 m^2/Vs = 130.57 cm^2/Vs T= 241 μ(Hellwarth1999)= 0.013034 m^2/Vs = 130.34 cm^2/Vs T= 242 μ(Hellwarth1999)= 0.013011 m^2/Vs = 130.11 cm^2/Vs T= 243 μ(Hellwarth1999)= 0.012988 m^2/Vs = 129.88 cm^2/Vs T= 244 μ(Hellwarth1999)= 0.012965 m^2/Vs = 129.65 cm^2/Vs T= 245 μ(Hellwarth1999)= 0.012943 m^2/Vs = 129.43 cm^2/Vs T= 246 μ(Hellwarth1999)= 0.012920 m^2/Vs = 129.20 cm^2/Vs T= 247 μ(Hellwarth1999)= 0.012898 m^2/Vs = 128.98 cm^2/Vs T= 248 μ(Hellwarth1999)= 0.012876 m^2/Vs = 128.76 cm^2/Vs T= 249 μ(Hellwarth1999)= 0.012854 m^2/Vs = 128.54 cm^2/Vs T= 250 μ(Hellwarth1999)= 0.012832 m^2/Vs = 128.32 cm^2/Vs T= 251 μ(Hellwarth1999)= 0.012810 m^2/Vs = 128.10 cm^2/Vs T= 252 μ(Hellwarth1999)= 0.012788 m^2/Vs = 127.88 cm^2/Vs T= 253 μ(Hellwarth1999)= 0.012766 m^2/Vs = 127.66 cm^2/Vs T= 254 μ(Hellwarth1999)= 0.012745 m^2/Vs = 127.45 cm^2/Vs T= 255 μ(Hellwarth1999)= 0.012724 m^2/Vs = 127.24 cm^2/Vs T= 256 μ(Hellwarth1999)= 0.012702 m^2/Vs = 127.02 cm^2/Vs T= 257 μ(Hellwarth1999)= 0.012681 m^2/Vs = 126.81 cm^2/Vs T= 258 μ(Hellwarth1999)= 0.012660 m^2/Vs = 126.60 cm^2/Vs T= 259 μ(Hellwarth1999)= 0.012639 m^2/Vs = 126.39 cm^2/Vs T= 260 μ(Hellwarth1999)= 0.012619 m^2/Vs = 126.19 cm^2/Vs T= 261 μ(Hellwarth1999)= 0.012598 m^2/Vs = 125.98 cm^2/Vs T= 262 μ(Hellwarth1999)= 0.012577 m^2/Vs = 125.77 cm^2/Vs T= 263 μ(Hellwarth1999)= 0.012557 m^2/Vs = 125.57 cm^2/Vs T= 264 μ(Hellwarth1999)= 0.012537 m^2/Vs = 125.37 cm^2/Vs T= 265 μ(Hellwarth1999)= 0.012516 m^2/Vs = 125.16 cm^2/Vs T= 266 μ(Hellwarth1999)= 0.012496 m^2/Vs = 124.96 cm^2/Vs T= 267 μ(Hellwarth1999)= 0.012476 m^2/Vs = 124.76 cm^2/Vs T= 268 μ(Hellwarth1999)= 0.012456 m^2/Vs = 124.56 cm^2/Vs T= 269 μ(Hellwarth1999)= 0.012436 m^2/Vs = 124.36 cm^2/Vs T= 270 μ(Hellwarth1999)= 0.012417 m^2/Vs = 124.17 cm^2/Vs T= 271 μ(Hellwarth1999)= 0.012397 m^2/Vs = 123.97 cm^2/Vs T= 272 μ(Hellwarth1999)= 0.012378 m^2/Vs = 123.78 cm^2/Vs T= 273 μ(Hellwarth1999)= 0.012358 m^2/Vs = 123.58 cm^2/Vs T= 274 μ(Hellwarth1999)= 0.012339 m^2/Vs = 123.39 cm^2/Vs T= 275 μ(Hellwarth1999)= 0.012320 m^2/Vs = 123.20 cm^2/Vs T= 276 μ(Hellwarth1999)= 0.012301 m^2/Vs = 123.01 cm^2/Vs T= 277 μ(Hellwarth1999)= 0.012282 m^2/Vs = 122.82 cm^2/Vs T= 278 μ(Hellwarth1999)= 0.012263 m^2/Vs = 122.63 cm^2/Vs T= 279 μ(Hellwarth1999)= 0.012244 m^2/Vs = 122.44 cm^2/Vs T= 280 μ(Hellwarth1999)= 0.012225 m^2/Vs = 122.25 cm^2/Vs T= 281 μ(Hellwarth1999)= 0.012207 m^2/Vs = 122.07 cm^2/Vs T= 282 μ(Hellwarth1999)= 0.012188 m^2/Vs = 121.88 cm^2/Vs T= 283 μ(Hellwarth1999)= 0.012170 m^2/Vs = 121.70 cm^2/Vs T= 284 μ(Hellwarth1999)= 0.012151 m^2/Vs = 121.51 cm^2/Vs T= 285 μ(Hellwarth1999)= 0.012133 m^2/Vs = 121.33 cm^2/Vs T= 286 μ(Hellwarth1999)= 0.012115 m^2/Vs = 121.15 cm^2/Vs T= 287 μ(Hellwarth1999)= 0.012097 m^2/Vs = 120.97 cm^2/Vs T= 288 μ(Hellwarth1999)= 0.012079 m^2/Vs = 120.79 cm^2/Vs T= 289 μ(Hellwarth1999)= 0.012061 m^2/Vs = 120.61 cm^2/Vs T= 290 μ(Hellwarth1999)= 0.012043 m^2/Vs = 120.43 cm^2/Vs T= 291 μ(Hellwarth1999)= 0.012025 m^2/Vs = 120.25 cm^2/Vs T= 292 μ(Hellwarth1999)= 0.012008 m^2/Vs = 120.08 cm^2/Vs T= 293 μ(Hellwarth1999)= 0.011990 m^2/Vs = 119.90 cm^2/Vs T= 294 μ(Hellwarth1999)= 0.011973 m^2/Vs = 119.73 cm^2/Vs T= 295 μ(Hellwarth1999)= 0.011955 m^2/Vs = 119.55 cm^2/Vs T= 296 μ(Hellwarth1999)= 0.011938 m^2/Vs = 119.38 cm^2/Vs T= 297 μ(Hellwarth1999)= 0.011921 m^2/Vs = 119.21 cm^2/Vs T= 298 μ(Hellwarth1999)= 0.011904 m^2/Vs = 119.04 cm^2/Vs T= 299 μ(Hellwarth1999)= 0.011887 m^2/Vs = 118.87 cm^2/Vs T= 300 μ(Hellwarth1999)= 0.011870 m^2/Vs = 118.70 cm^2/Vs T= 301 μ(Hellwarth1999)= 0.011853 m^2/Vs = 118.53 cm^2/Vs T= 302 μ(Hellwarth1999)= 0.011836 m^2/Vs = 118.36 cm^2/Vs T= 303 μ(Hellwarth1999)= 0.011819 m^2/Vs = 118.19 cm^2/Vs T= 304 μ(Hellwarth1999)= 0.011803 m^2/Vs = 118.03 cm^2/Vs T= 305 μ(Hellwarth1999)= 0.011786 m^2/Vs = 117.86 cm^2/Vs T= 306 μ(Hellwarth1999)= 0.011770 m^2/Vs = 117.70 cm^2/Vs T= 307 μ(Hellwarth1999)= 0.011753 m^2/Vs = 117.53 cm^2/Vs T= 308 μ(Hellwarth1999)= 0.011737 m^2/Vs = 117.37 cm^2/Vs T= 309 μ(Hellwarth1999)= 0.011720 m^2/Vs = 117.20 cm^2/Vs T= 310 μ(Hellwarth1999)= 0.011704 m^2/Vs = 117.04 cm^2/Vs T= 311 μ(Hellwarth1999)= 0.011688 m^2/Vs = 116.88 cm^2/Vs T= 312 μ(Hellwarth1999)= 0.011672 m^2/Vs = 116.72 cm^2/Vs T= 313 μ(Hellwarth1999)= 0.011656 m^2/Vs = 116.56 cm^2/Vs T= 314 μ(Hellwarth1999)= 0.011640 m^2/Vs = 116.40 cm^2/Vs T= 315 μ(Hellwarth1999)= 0.011624 m^2/Vs = 116.24 cm^2/Vs T= 316 μ(Hellwarth1999)= 0.011609 m^2/Vs = 116.09 cm^2/Vs T= 317 μ(Hellwarth1999)= 0.011593 m^2/Vs = 115.93 cm^2/Vs T= 318 μ(Hellwarth1999)= 0.011577 m^2/Vs = 115.77 cm^2/Vs T= 319 μ(Hellwarth1999)= 0.011562 m^2/Vs = 115.62 cm^2/Vs T= 320 μ(Hellwarth1999)= 0.011546 m^2/Vs = 115.46 cm^2/Vs T= 321 μ(Hellwarth1999)= 0.011531 m^2/Vs = 115.31 cm^2/Vs T= 322 μ(Hellwarth1999)= 0.011515 m^2/Vs = 115.15 cm^2/Vs T= 323 μ(Hellwarth1999)= 0.011500 m^2/Vs = 115.00 cm^2/Vs T= 324 μ(Hellwarth1999)= 0.011485 m^2/Vs = 114.85 cm^2/Vs T= 325 μ(Hellwarth1999)= 0.011470 m^2/Vs = 114.70 cm^2/Vs T= 326 μ(Hellwarth1999)= 0.011455 m^2/Vs = 114.55 cm^2/Vs T= 327 μ(Hellwarth1999)= 0.011440 m^2/Vs = 114.40 cm^2/Vs T= 328 μ(Hellwarth1999)= 0.011425 m^2/Vs = 114.25 cm^2/Vs T= 329 μ(Hellwarth1999)= 0.011410 m^2/Vs = 114.10 cm^2/Vs T= 330 μ(Hellwarth1999)= 0.011395 m^2/Vs = 113.95 cm^2/Vs T= 331 μ(Hellwarth1999)= 0.011380 m^2/Vs = 113.80 cm^2/Vs T= 332 μ(Hellwarth1999)= 0.011365 m^2/Vs = 113.65 cm^2/Vs T= 333 μ(Hellwarth1999)= 0.011351 m^2/Vs = 113.51 cm^2/Vs T= 334 μ(Hellwarth1999)= 0.011336 m^2/Vs = 113.36 cm^2/Vs T= 335 μ(Hellwarth1999)= 0.011322 m^2/Vs = 113.22 cm^2/Vs T= 336 μ(Hellwarth1999)= 0.011307 m^2/Vs = 113.07 cm^2/Vs T= 337 μ(Hellwarth1999)= 0.011293 m^2/Vs = 112.93 cm^2/Vs T= 338 μ(Hellwarth1999)= 0.011278 m^2/Vs = 112.78 cm^2/Vs T= 339 μ(Hellwarth1999)= 0.011264 m^2/Vs = 112.64 cm^2/Vs T= 340 μ(Hellwarth1999)= 0.011250 m^2/Vs = 112.50 cm^2/Vs T= 341 μ(Hellwarth1999)= 0.011236 m^2/Vs = 112.36 cm^2/Vs T= 342 μ(Hellwarth1999)= 0.011222 m^2/Vs = 112.22 cm^2/Vs T= 343 μ(Hellwarth1999)= 0.011208 m^2/Vs = 112.08 cm^2/Vs T= 344 μ(Hellwarth1999)= 0.011194 m^2/Vs = 111.94 cm^2/Vs T= 345 μ(Hellwarth1999)= 0.011180 m^2/Vs = 111.80 cm^2/Vs T= 346 μ(Hellwarth1999)= 0.011166 m^2/Vs = 111.66 cm^2/Vs T= 347 μ(Hellwarth1999)= 0.011152 m^2/Vs = 111.52 cm^2/Vs T= 348 μ(Hellwarth1999)= 0.011138 m^2/Vs = 111.38 cm^2/Vs T= 349 μ(Hellwarth1999)= 0.011124 m^2/Vs = 111.24 cm^2/Vs T= 350 μ(Hellwarth1999)= 0.011111 m^2/Vs = 111.11 cm^2/Vs T= 351 μ(Hellwarth1999)= 0.011097 m^2/Vs = 110.97 cm^2/Vs T= 352 μ(Hellwarth1999)= 0.011084 m^2/Vs = 110.84 cm^2/Vs T= 353 μ(Hellwarth1999)= 0.011070 m^2/Vs = 110.70 cm^2/Vs T= 354 μ(Hellwarth1999)= 0.011057 m^2/Vs = 110.57 cm^2/Vs T= 355 μ(Hellwarth1999)= 0.011043 m^2/Vs = 110.43 cm^2/Vs T= 356 μ(Hellwarth1999)= 0.011030 m^2/Vs = 110.30 cm^2/Vs T= 357 μ(Hellwarth1999)= 0.011017 m^2/Vs = 110.17 cm^2/Vs T= 358 μ(Hellwarth1999)= 0.011003 m^2/Vs = 110.03 cm^2/Vs T= 359 μ(Hellwarth1999)= 0.010990 m^2/Vs = 109.90 cm^2/Vs T= 360 μ(Hellwarth1999)= 0.010977 m^2/Vs = 109.77 cm^2/Vs T= 361 μ(Hellwarth1999)= 0.010964 m^2/Vs = 109.64 cm^2/Vs T= 362 μ(Hellwarth1999)= 0.010951 m^2/Vs = 109.51 cm^2/Vs T= 363 μ(Hellwarth1999)= 0.010938 m^2/Vs = 109.38 cm^2/Vs T= 364 μ(Hellwarth1999)= 0.010925 m^2/Vs = 109.25 cm^2/Vs T= 365 μ(Hellwarth1999)= 0.010912 m^2/Vs = 109.12 cm^2/Vs T= 366 μ(Hellwarth1999)= 0.010899 m^2/Vs = 108.99 cm^2/Vs T= 367 μ(Hellwarth1999)= 0.010887 m^2/Vs = 108.87 cm^2/Vs T= 368 μ(Hellwarth1999)= 0.010874 m^2/Vs = 108.74 cm^2/Vs T= 369 μ(Hellwarth1999)= 0.010861 m^2/Vs = 108.61 cm^2/Vs T= 370 μ(Hellwarth1999)= 0.010849 m^2/Vs = 108.49 cm^2/Vs T= 371 μ(Hellwarth1999)= 0.010836 m^2/Vs = 108.36 cm^2/Vs T= 372 μ(Hellwarth1999)= 0.010824 m^2/Vs = 108.24 cm^2/Vs T= 373 μ(Hellwarth1999)= 0.010811 m^2/Vs = 108.11 cm^2/Vs T= 374 μ(Hellwarth1999)= 0.010799 m^2/Vs = 107.99 cm^2/Vs T= 375 μ(Hellwarth1999)= 0.010786 m^2/Vs = 107.86 cm^2/Vs T= 376 μ(Hellwarth1999)= 0.010774 m^2/Vs = 107.74 cm^2/Vs T= 377 μ(Hellwarth1999)= 0.010762 m^2/Vs = 107.62 cm^2/Vs T= 378 μ(Hellwarth1999)= 0.010749 m^2/Vs = 107.49 cm^2/Vs T= 379 μ(Hellwarth1999)= 0.010737 m^2/Vs = 107.37 cm^2/Vs T= 380 μ(Hellwarth1999)= 0.010725 m^2/Vs = 107.25 cm^2/Vs T= 381 μ(Hellwarth1999)= 0.010713 m^2/Vs = 107.13 cm^2/Vs T= 382 μ(Hellwarth1999)= 0.010701 m^2/Vs = 107.01 cm^2/Vs T= 383 μ(Hellwarth1999)= 0.010689 m^2/Vs = 106.89 cm^2/Vs T= 384 μ(Hellwarth1999)= 0.010677 m^2/Vs = 106.77 cm^2/Vs T= 385 μ(Hellwarth1999)= 0.010665 m^2/Vs = 106.65 cm^2/Vs T= 386 μ(Hellwarth1999)= 0.010653 m^2/Vs = 106.53 cm^2/Vs T= 387 μ(Hellwarth1999)= 0.010641 m^2/Vs = 106.41 cm^2/Vs T= 388 μ(Hellwarth1999)= 0.010629 m^2/Vs = 106.29 cm^2/Vs T= 389 μ(Hellwarth1999)= 0.010617 m^2/Vs = 106.17 cm^2/Vs T= 390 μ(Hellwarth1999)= 0.010606 m^2/Vs = 106.06 cm^2/Vs T= 391 μ(Hellwarth1999)= 0.010594 m^2/Vs = 105.94 cm^2/Vs T= 392 μ(Hellwarth1999)= 0.010582 m^2/Vs = 105.82 cm^2/Vs T= 393 μ(Hellwarth1999)= 0.010571 m^2/Vs = 105.71 cm^2/Vs T= 394 μ(Hellwarth1999)= 0.010559 m^2/Vs = 105.59 cm^2/Vs T= 395 μ(Hellwarth1999)= 0.010548 m^2/Vs = 105.48 cm^2/Vs T= 396 μ(Hellwarth1999)= 0.010536 m^2/Vs = 105.36 cm^2/Vs T= 397 μ(Hellwarth1999)= 0.010525 m^2/Vs = 105.25 cm^2/Vs T= 398 μ(Hellwarth1999)= 0.010513 m^2/Vs = 105.13 cm^2/Vs T= 399 μ(Hellwarth1999)= 0.010502 m^2/Vs = 105.02 cm^2/Vs T= 400 μ(Hellwarth1999)= 0.010491 m^2/Vs = 104.91 cm^2/Vs T= 401 μ(Hellwarth1999)= 0.010479 m^2/Vs = 104.79 cm^2/Vs T= 402 μ(Hellwarth1999)= 0.010468 m^2/Vs = 104.68 cm^2/Vs T= 403 μ(Hellwarth1999)= 0.010457 m^2/Vs = 104.57 cm^2/Vs T= 404 μ(Hellwarth1999)= 0.010446 m^2/Vs = 104.46 cm^2/Vs T= 405 μ(Hellwarth1999)= 0.010435 m^2/Vs = 104.35 cm^2/Vs T= 406 μ(Hellwarth1999)= 0.010424 m^2/Vs = 104.24 cm^2/Vs T= 407 μ(Hellwarth1999)= 0.010413 m^2/Vs = 104.13 cm^2/Vs T= 408 μ(Hellwarth1999)= 0.010402 m^2/Vs = 104.02 cm^2/Vs T= 409 μ(Hellwarth1999)= 0.010391 m^2/Vs = 103.91 cm^2/Vs T= 410 μ(Hellwarth1999)= 0.010380 m^2/Vs = 103.80 cm^2/Vs T= 411 μ(Hellwarth1999)= 0.010369 m^2/Vs = 103.69 cm^2/Vs T= 412 μ(Hellwarth1999)= 0.010358 m^2/Vs = 103.58 cm^2/Vs T= 413 μ(Hellwarth1999)= 0.010347 m^2/Vs = 103.47 cm^2/Vs T= 414 μ(Hellwarth1999)= 0.010336 m^2/Vs = 103.36 cm^2/Vs T= 415 μ(Hellwarth1999)= 0.010326 m^2/Vs = 103.26 cm^2/Vs T= 416 μ(Hellwarth1999)= 0.010315 m^2/Vs = 103.15 cm^2/Vs T= 417 μ(Hellwarth1999)= 0.010304 m^2/Vs = 103.04 cm^2/Vs T= 418 μ(Hellwarth1999)= 0.010293 m^2/Vs = 102.93 cm^2/Vs T= 419 μ(Hellwarth1999)= 0.010283 m^2/Vs = 102.83 cm^2/Vs T= 420 μ(Hellwarth1999)= 0.010272 m^2/Vs = 102.72 cm^2/Vs T= 421 μ(Hellwarth1999)= 0.010262 m^2/Vs = 102.62 cm^2/Vs T= 422 μ(Hellwarth1999)= 0.010251 m^2/Vs = 102.51 cm^2/Vs T= 423 μ(Hellwarth1999)= 0.010241 m^2/Vs = 102.41 cm^2/Vs T= 424 μ(Hellwarth1999)= 0.010230 m^2/Vs = 102.30 cm^2/Vs T= 425 μ(Hellwarth1999)= 0.010220 m^2/Vs = 102.20 cm^2/Vs T= 426 μ(Hellwarth1999)= 0.010210 m^2/Vs = 102.10 cm^2/Vs T= 427 μ(Hellwarth1999)= 0.010199 m^2/Vs = 101.99 cm^2/Vs T= 428 μ(Hellwarth1999)= 0.010189 m^2/Vs = 101.89 cm^2/Vs T= 429 μ(Hellwarth1999)= 0.010179 m^2/Vs = 101.79 cm^2/Vs T= 430 μ(Hellwarth1999)= 0.010169 m^2/Vs = 101.69 cm^2/Vs T= 431 μ(Hellwarth1999)= 0.010158 m^2/Vs = 101.58 cm^2/Vs T= 432 μ(Hellwarth1999)= 0.010148 m^2/Vs = 101.48 cm^2/Vs T= 433 μ(Hellwarth1999)= 0.010138 m^2/Vs = 101.38 cm^2/Vs T= 434 μ(Hellwarth1999)= 0.010128 m^2/Vs = 101.28 cm^2/Vs T= 435 μ(Hellwarth1999)= 0.010118 m^2/Vs = 101.18 cm^2/Vs T= 436 μ(Hellwarth1999)= 0.010108 m^2/Vs = 101.08 cm^2/Vs T= 437 μ(Hellwarth1999)= 0.010098 m^2/Vs = 100.98 cm^2/Vs T= 438 μ(Hellwarth1999)= 0.010088 m^2/Vs = 100.88 cm^2/Vs T= 439 μ(Hellwarth1999)= 0.010078 m^2/Vs = 100.78 cm^2/Vs T= 440 μ(Hellwarth1999)= 0.010068 m^2/Vs = 100.68 cm^2/Vs T= 441 μ(Hellwarth1999)= 0.010058 m^2/Vs = 100.58 cm^2/Vs T= 442 μ(Hellwarth1999)= 0.010048 m^2/Vs = 100.48 cm^2/Vs T= 443 μ(Hellwarth1999)= 0.010039 m^2/Vs = 100.39 cm^2/Vs T= 444 μ(Hellwarth1999)= 0.010029 m^2/Vs = 100.29 cm^2/Vs T= 445 μ(Hellwarth1999)= 0.010019 m^2/Vs = 100.19 cm^2/Vs T= 446 μ(Hellwarth1999)= 0.010009 m^2/Vs = 100.09 cm^2/Vs T= 447 μ(Hellwarth1999)= 0.010000 m^2/Vs = 100.00 cm^2/Vs T= 448 μ(Hellwarth1999)= 0.009990 m^2/Vs = 99.90 cm^2/Vs T= 449 μ(Hellwarth1999)= 0.009980 m^2/Vs = 99.80 cm^2/Vs T= 450 μ(Hellwarth1999)= 0.009971 m^2/Vs = 99.71 cm^2/Vs T= 451 μ(Hellwarth1999)= 0.009961 m^2/Vs = 99.61 cm^2/Vs T= 452 μ(Hellwarth1999)= 0.009952 m^2/Vs = 99.52 cm^2/Vs T= 453 μ(Hellwarth1999)= 0.009942 m^2/Vs = 99.42 cm^2/Vs T= 454 μ(Hellwarth1999)= 0.009933 m^2/Vs = 99.33 cm^2/Vs T= 455 μ(Hellwarth1999)= 0.009923 m^2/Vs = 99.23 cm^2/Vs T= 456 μ(Hellwarth1999)= 0.009914 m^2/Vs = 99.14 cm^2/Vs T= 457 μ(Hellwarth1999)= 0.009904 m^2/Vs = 99.04 cm^2/Vs T= 458 μ(Hellwarth1999)= 0.009895 m^2/Vs = 98.95 cm^2/Vs T= 459 μ(Hellwarth1999)= 0.009886 m^2/Vs = 98.86 cm^2/Vs T= 460 μ(Hellwarth1999)= 0.009876 m^2/Vs = 98.76 cm^2/Vs T= 461 μ(Hellwarth1999)= 0.009867 m^2/Vs = 98.67 cm^2/Vs T= 462 μ(Hellwarth1999)= 0.009858 m^2/Vs = 98.58 cm^2/Vs T= 463 μ(Hellwarth1999)= 0.009849 m^2/Vs = 98.49 cm^2/Vs T= 464 μ(Hellwarth1999)= 0.009839 m^2/Vs = 98.39 cm^2/Vs T= 465 μ(Hellwarth1999)= 0.009830 m^2/Vs = 98.30 cm^2/Vs T= 466 μ(Hellwarth1999)= 0.009821 m^2/Vs = 98.21 cm^2/Vs T= 467 μ(Hellwarth1999)= 0.009812 m^2/Vs = 98.12 cm^2/Vs T= 468 μ(Hellwarth1999)= 0.009803 m^2/Vs = 98.03 cm^2/Vs T= 469 μ(Hellwarth1999)= 0.009794 m^2/Vs = 97.94 cm^2/Vs T= 470 μ(Hellwarth1999)= 0.009785 m^2/Vs = 97.85 cm^2/Vs T= 471 μ(Hellwarth1999)= 0.009776 m^2/Vs = 97.76 cm^2/Vs T= 472 μ(Hellwarth1999)= 0.009767 m^2/Vs = 97.67 cm^2/Vs T= 473 μ(Hellwarth1999)= 0.009758 m^2/Vs = 97.58 cm^2/Vs T= 474 μ(Hellwarth1999)= 0.009749 m^2/Vs = 97.49 cm^2/Vs T= 475 μ(Hellwarth1999)= 0.009740 m^2/Vs = 97.40 cm^2/Vs T= 476 μ(Hellwarth1999)= 0.009731 m^2/Vs = 97.31 cm^2/Vs T= 477 μ(Hellwarth1999)= 0.009722 m^2/Vs = 97.22 cm^2/Vs T= 478 μ(Hellwarth1999)= 0.009714 m^2/Vs = 97.14 cm^2/Vs T= 479 μ(Hellwarth1999)= 0.009705 m^2/Vs = 97.05 cm^2/Vs T= 480 μ(Hellwarth1999)= 0.009696 m^2/Vs = 96.96 cm^2/Vs T= 481 μ(Hellwarth1999)= 0.009687 m^2/Vs = 96.87 cm^2/Vs T= 482 μ(Hellwarth1999)= 0.009679 m^2/Vs = 96.79 cm^2/Vs T= 483 μ(Hellwarth1999)= 0.009670 m^2/Vs = 96.70 cm^2/Vs T= 484 μ(Hellwarth1999)= 0.009661 m^2/Vs = 96.61 cm^2/Vs T= 485 μ(Hellwarth1999)= 0.009653 m^2/Vs = 96.53 cm^2/Vs T= 486 μ(Hellwarth1999)= 0.009644 m^2/Vs = 96.44 cm^2/Vs T= 487 μ(Hellwarth1999)= 0.009635 m^2/Vs = 96.35 cm^2/Vs T= 488 μ(Hellwarth1999)= 0.009627 m^2/Vs = 96.27 cm^2/Vs T= 489 μ(Hellwarth1999)= 0.009618 m^2/Vs = 96.18 cm^2/Vs T= 490 μ(Hellwarth1999)= 0.009610 m^2/Vs = 96.10 cm^2/Vs T= 491 μ(Hellwarth1999)= 0.009601 m^2/Vs = 96.01 cm^2/Vs T= 492 μ(Hellwarth1999)= 0.009593 m^2/Vs = 95.93 cm^2/Vs T= 493 μ(Hellwarth1999)= 0.009584 m^2/Vs = 95.84 cm^2/Vs T= 494 μ(Hellwarth1999)= 0.009576 m^2/Vs = 95.76 cm^2/Vs T= 495 μ(Hellwarth1999)= 0.009568 m^2/Vs = 95.68 cm^2/Vs T= 496 μ(Hellwarth1999)= 0.009559 m^2/Vs = 95.59 cm^2/Vs T= 497 μ(Hellwarth1999)= 0.009551 m^2/Vs = 95.51 cm^2/Vs T= 498 μ(Hellwarth1999)= 0.009543 m^2/Vs = 95.43 cm^2/Vs T= 499 μ(Hellwarth1999)= 0.009534 m^2/Vs = 95.34 cm^2/Vs T= 500 μ(Hellwarth1999)= 0.009526 m^2/Vs = 95.26 cm^2/Vs Mode f= 2.25e12 S= 2.589366666874037e-11 ϵ_mode = 19.6 Raw ionic dielectric contribution: 1.735384e-10 absolute 19.6 relative Sum of ionic dielectric: 24.1 Notable Mode f= 2.25e12 α_partial=2.393991493189078 Sum alpha: 2.393991493189078 Notable Mode f= 5.0e12 α_partial=3.8829512697387147 Notable Mode f= 5.0e11 α_partial=41.13454968698757 Sum alpha: 45.01750095672628 Ionic dielectric and alphas: ------------------------------- ω (THz) ϵ_ionic αs ------------------------------- 15×3 Matrix{Float64}: 25.2362 0.299968 0.0340101 24.4265 0.0247388 0.00285097 22.1879 0.254313 0.0307508 17.3126 0.166216 0.0227529 15.3189 2.30832 0.335914 14.1315 3.0708 0.465268 13.0667 3.20268 0.504633 12.7779 0.892674 0.142236 9.84764 0.886158 0.160839 6.40155 0.720928 0.162291 6.29761 0.401998 0.0912391 6.26442 0.618328 0.14071 5.78165 0.766639 0.181598 5.03034 0.155544 0.0395004 3.60572 1.16277 0.348774 ------------------------------- Variational parameters: Athermal v = 3.292279504812413 | athermal w = 2.6791846937713193 300K v = 35.192143576883446 | 300K w = 32.45419014974457 Polaron energies 0K energy: -19.506121706508377 meV 300K energy: -42.79764112300588 meV Mobility at 300K: 160.48025849662415 Complex Impedence: DC limit: 0.0482304499341178 + 0.0im At 50 THz: 0.015597563200295322 - 0.15169951673681012im Complex Conductivity: DC limit: 5.782080659404293e-6 - 0.0im At 50 THz: 1.8703663634325246e-7 + 1.8190897501740964e-6im Hellwarth B Scheme... (athermal) Hellwarth (58) summation: 0.03803673767058733 Hellwarth (59) summation (total ir activity ^2): 0.19283002835623678 Hellwarth (59) W_e (total ir activity ): 0.4391241605243747 Hellwarth (61) Omega (freq): 2.251571287857919 Calculating Fröhlich alpha... 2.393 Calculating thermodynamic betas... [Inf 0.36] Calculating variational parameters... Process: 0 / 2 (0.0 %) | T = 0.0 | v = [3.309] | w = [2.663] Process: 1 / 2 (50.0 %) | T = 300.0 | v = [19.848] | w = [16.948]  11.756643 seconds (6.23 M allocations: 317.983 MiB, 0.74% gc time, 99.82% compilation time) v: [3.309, 19.848] w: [2.663, 16.948] Calculating spring constants... 57.411402 seconds (4.17 M allocations: 730.185 MiB, 0.25% gc time, 100.00% compilation time) [3.853, 106.685] Calculating fictitious masses... 0.597916 seconds (329.72 k allocations: 15.787 MiB, 99.97% compilation time) [0.543, 0.371] Calculating free energies... Process: 0 / 2 (0.0 %) | T = 0.0 | F = -35.005 Process: 1 / 2 (50.0 %) | T = 0.0 | F = -35.005 Process: 2 / 2 (100.0 %) | T = 300.0 | F = -53.94  1.657130 seconds (899.58 k allocations: 46.364 MiB, 99.88% compilation time) [-23.041, -35.504] Calculating complex impedances... Process: 0 / 4 (0.0 %) | T = 0.0 | Ω = 3.0 | Z = 17.729 - 30.276im Process: 1 / 4 (25.0 %) | T = 300.0 | Ω = 0.0 | Z = 107.433 + 0.0im Process: 2 / 4 (50.0 %) | T = 300.0 | Ω = 3.0 | Z = 104.321 - 2.241im  7.727268 seconds (4.17 M allocations: 213.866 MiB, 1.33% gc time, 99.68% compilation time) ComplexF64[0.0 + 0.0im 0.114 + 0.0im; 0.019 - 0.032im 0.111 - 0.002im] Calculating complex conductivities... 0.831054 seconds (331.76 k allocations: 16.804 MiB, 100.00% compilation time) ComplexF64[Inf + 0.0im 8.783 - 0.0im; 13.59 + 23.209im 9.041 + 0.194im] Calculating mobilities... Process: 0 / 2 (0.0 %) | T = 300.0 | μ = 0.009  1.121152 seconds (538.46 k allocations: 28.067 MiB, 99.88% compilation time) [Inf, 136.428] ------------------------------------------------- Polaron Information: ------------------------------------------------- Fröhlich coupling | α = 2.393 | sum(α) = 2.393 Temperatures | T = [0.0, 300.0] K Reduced thermodynamic | β = [Inf 0.36] Phonon frequencies | ω = 2.252 2π THz Variational parameters | v = [3.309, 19.848] ω | w = [2.663, 16.948] ω Fictitious spring constant | κ = [3.853, 106.685] kg/s² Fictitious mass | M = [0.543, 0.371] kg Free energy | F = [-23.041, -35.504] meV Electric field frequency | Ω = [0.0, 3.0] 2π THz Complex impedance | Z = ComplexF64[0.0 + 0.0im 0.114 + 0.0im; 0.019 - 0.032im 0.111 - 0.002im] V/A Complex conductivity | σ = ComplexF64[Inf + 0.0im 8.783 - 0.0im; 13.59 + 23.209im 9.041 + 0.194im] A/V Mobility | μ = [Inf, 136.428] cm²/Vs Calculating Fröhlich alpha... [0.034, 0.003, 0.031, 0.023, 0.336, 0.465, 0.505, 0.142, 0.161, 0.162, 0.091, 0.141, 0.182, 0.04, 0.349] Calculating thermodynamic betas... [Inf 0.643; Inf 0.622; … ; Inf 0.128; Inf 0.092] Calculating variational parameters... Process: 0 / 2 (0.0 %) | T = 0.0 | v = [3.292] | w = [2.679] Process: 1 / 2 (50.0 %) | T = 300.0 | v = [35.192] | w = [32.454]  1.213617 seconds (1.05 M allocations: 47.464 MiB, 2.05% gc time, 82.90% compilation time) v: [3.292, 35.192] w: [2.679, 32.454] Calculating spring constants... 0.000009 seconds (4 allocations: 112 bytes) [3.661, 185.213] Calculating fictitious masses... 0.000007 seconds (4 allocations: 112 bytes) [0.51, 0.176] Calculating free energies... Process: 0 / 2 (0.0 %) | T = 0.0 | F = -29.65 Process: 1 / 2 (50.0 %) | T = 0.0 | F = -29.65 Process: 2 / 2 (100.0 %) | T = 300.0 | F = -65.077  0.086956 seconds (53.24 k allocations: 2.855 MiB, 96.02% compilation time) [-19.516, -42.834] Calculating complex impedances... Process: 0 / 4 (0.0 %) | T = 0.0 | Ω = 3.0 | Z = 13.132 - 25.461im Process: 1 / 4 (25.0 %) | T = 300.0 | Ω = 0.0 | Z = 91.388 + 0.0im Process: 2 / 4 (50.0 %) | T = 300.0 | Ω = 3.0 | Z = 88.452 - 5.532im  3.666833 seconds (896.41 k allocations: 49.311 MiB, 89.72% compilation time) ComplexF64[0.0 + 0.0im 0.097 + 0.0im; 0.014 - 0.027im 0.094 - 0.006im] Calculating complex conductivities... 0.000006 seconds (4 allocations: 176 bytes) ComplexF64[Inf + 0.0im 10.325 - 0.0im; 15.098 + 29.275im 10.627 + 0.665im] Calculating mobilities... Process: 0 / 2 (0.0 %) | T = 300.0 | μ = 0.011  0.064721 seconds (22.73 k allocations: 1.241 MiB, 88.59% compilation time) [Inf, 160.38] ------------------------------------------------- Polaron Information: ------------------------------------------------- Fröhlich coupling | α = [0.034, 0.003, 0.031, 0.023, 0.336, 0.465, 0.505, 0.142, 0.161, 0.162, 0.091, 0.141, 0.182, 0.04, 0.349] | sum(α) = 2.663 Temperatures | T = [0.0, 300.0] K Reduced thermodynamic | β = [Inf 0.643; Inf 0.622; Inf 0.565; Inf 0.441; Inf 0.39; Inf 0.36; Inf 0.333; Inf 0.325; Inf 0.251; Inf 0.163; Inf 0.16; Inf 0.159; Inf 0.147; Inf 0.128; Inf 0.092] Phonon frequencies | ω = [4.016, 3.888, 3.531, 2.755, 2.438, 2.249, 2.08, 2.034, 1.567, 1.019, 1.002, 0.997, 0.92, 0.801, 0.574] 2π THz Variational parameters | v = [3.292, 35.192] ω | w = [2.679, 32.454] ω Fictitious spring constant | κ = [3.661, 185.213] kg/s² Fictitious mass | M = [0.51, 0.176] kg Free energy | F = [-19.516, -42.834] meV Electric field frequency | Ω = [0.0, 3.0] 2π THz Complex impedance | Z = ComplexF64[0.0 + 0.0im 0.097 + 0.0im; 0.014 - 0.027im 0.094 - 0.006im] V/A Complex conductivity | σ = ComplexF64[Inf + 0.0im 10.325 - 0.0im; 15.098 + 29.275im 10.627 + 0.665im] A/V Mobility | μ = [Inf, 160.38] cm²/Vs Test Summary: | Pass Total Time PolaronMobility | 55 55 4m06.0s That's me! If I finished without interupting, all tests have passed. Testing PolaronMobility tests passed Testing completed after 267.88s PkgEval succeeded after 466.47s