pttools.models.const_cs_thermo

ThermoModel-based constant \(c_s\) model

Classes

class pttools.models.const_cs_thermo.ConstCSThermoModel(a_s, a_b, css2, csb2, V_s, V_b=0, T_min=None, T_max=None, t_ref=1, name=None, label_latex=None, label_unicode=None, allow_invalid=False)

Bases: ThermoModel

ThermoModel-based constant \(c_s\) model

Parameters:
  • a_s (float)

  • a_b (float)

  • css2 (float)

  • csb2 (float)

  • V_s (float)

  • V_b (float)

  • T_min (float)

  • T_max (float)

  • t_ref (float)

  • name (str)

  • label_latex (str)

  • label_unicode (str)

  • allow_invalid (bool)

DEFAULT_LABEL_LATEX: str = 'Constant $c_s$ thermo-model'
DEFAULT_LABEL_UNICODE: str = 'Constant cₛ thermo-model'
DEFAULT_NAME: str = 'const_cs_thermo'
GEFF_DATA_LOG_TEMP: ndarray = array([-1.00000000e+00, -9.95995996e-01, -9.91991992e-01, -9.87987988e-01,        -9.83983984e-01, -9.79979980e-01, -9.75975976e-01, -9.71971972e-01,        -9.67967968e-01, -9.63963964e-01, -9.59959960e-01, -9.55955956e-01,        -9.51951952e-01, -9.47947948e-01, -9.43943944e-01, -9.39939940e-01,        -9.35935936e-01, -9.31931932e-01, -9.27927928e-01, -9.23923924e-01,        -9.19919920e-01, -9.15915916e-01, -9.11911912e-01, -9.07907908e-01,        -9.03903904e-01, -8.99899900e-01, -8.95895896e-01, -8.91891892e-01,        -8.87887888e-01, -8.83883884e-01, -8.79879880e-01, -8.75875876e-01,        -8.71871872e-01, -8.67867868e-01, -8.63863864e-01, -8.59859860e-01,        -8.55855856e-01, -8.51851852e-01, -8.47847848e-01, -8.43843844e-01,        -8.39839840e-01, -8.35835836e-01, -8.31831832e-01, -8.27827828e-01,        -8.23823824e-01, -8.19819820e-01, -8.15815816e-01, -8.11811812e-01,        -8.07807808e-01, -8.03803804e-01, -7.99799800e-01, -7.95795796e-01,        -7.91791792e-01, -7.87787788e-01, -7.83783784e-01, -7.79779780e-01,        -7.75775776e-01, -7.71771772e-01, -7.67767768e-01, -7.63763764e-01,        -7.59759760e-01, -7.55755756e-01, -7.51751752e-01, -7.47747748e-01,        -7.43743744e-01, -7.39739740e-01, -7.35735736e-01, -7.31731732e-01,        -7.27727728e-01, -7.23723724e-01, -7.19719720e-01, -7.15715716e-01,        -7.11711712e-01, -7.07707708e-01, -7.03703704e-01, -6.99699700e-01,        -6.95695696e-01, -6.91691692e-01, -6.87687688e-01, -6.83683684e-01,        -6.79679680e-01, -6.75675676e-01, -6.71671672e-01, -6.67667668e-01,        -6.63663664e-01, -6.59659660e-01, -6.55655656e-01, -6.51651652e-01,        -6.47647648e-01, -6.43643644e-01, -6.39639640e-01, -6.35635636e-01,        -6.31631632e-01, -6.27627628e-01, -6.23623624e-01, -6.19619620e-01,        -6.15615616e-01, -6.11611612e-01, -6.07607608e-01, -6.03603604e-01,        -5.99599600e-01, -5.95595596e-01, -5.91591592e-01, -5.87587588e-01,        -5.83583584e-01, -5.79579580e-01, -5.75575576e-01, -5.71571572e-01,        -5.67567568e-01, -5.63563564e-01, -5.59559560e-01, -5.55555556e-01,        -5.51551552e-01, -5.47547548e-01, -5.43543544e-01, -5.39539540e-01,        -5.35535536e-01, -5.31531532e-01, -5.27527528e-01, -5.23523524e-01,        -5.19519520e-01, -5.15515516e-01, -5.11511512e-01, -5.07507508e-01,        -5.03503504e-01, -4.99499499e-01, -4.95495495e-01, -4.91491491e-01,        -4.87487487e-01, -4.83483483e-01, -4.79479479e-01, -4.75475475e-01,        -4.71471471e-01, -4.67467467e-01, -4.63463463e-01, -4.59459459e-01,        -4.55455455e-01, -4.51451451e-01, -4.47447447e-01, -4.43443443e-01,        -4.39439439e-01, -4.35435435e-01, -4.31431431e-01, -4.27427427e-01,        -4.23423423e-01, -4.19419419e-01, -4.15415415e-01, -4.11411411e-01,        -4.07407407e-01, -4.03403403e-01, -3.99399399e-01, -3.95395395e-01,        -3.91391391e-01, -3.87387387e-01, -3.83383383e-01, -3.79379379e-01,        -3.75375375e-01, 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-1.59159159e-01, -1.55155155e-01,        -1.51151151e-01, -1.47147147e-01, -1.43143143e-01, -1.39139139e-01,        -1.35135135e-01, -1.31131131e-01, -1.27127127e-01, -1.23123123e-01,        -1.19119119e-01, -1.15115115e-01, -1.11111111e-01, -1.07107107e-01,        -1.03103103e-01, -9.90990991e-02, -9.50950951e-02, -9.10910911e-02,        -8.70870871e-02, -8.30830831e-02, -7.90790791e-02, -7.50750751e-02,        -7.10710711e-02, -6.70670671e-02, -6.30630631e-02, -5.90590591e-02,        -5.50550551e-02, -5.10510511e-02, -4.70470470e-02, -4.30430430e-02,        -3.90390390e-02, -3.50350350e-02, -3.10310310e-02, -2.70270270e-02,        -2.30230230e-02, -1.90190190e-02, -1.50150150e-02, -1.10110110e-02,        -7.00700701e-03, -3.00300300e-03,  1.00100100e-03,  5.00500501e-03,         9.00900901e-03,  1.30130130e-02,  1.70170170e-02,  2.10210210e-02,         2.50250250e-02,  2.90290290e-02,  3.30330330e-02,  3.70370370e-02,         4.10410410e-02,  4.50450450e-02,  4.90490490e-02,  5.30530531e-02,         5.70570571e-02,  6.10610611e-02,  6.50650651e-02,  6.90690691e-02,         7.30730731e-02,  7.70770771e-02,  8.10810811e-02,  8.50850851e-02,         8.90890891e-02,  9.30930931e-02,  9.70970971e-02,  1.01101101e-01,         1.05105105e-01,  1.09109109e-01,  1.13113113e-01,  1.17117117e-01,         1.21121121e-01,  1.25125125e-01,  1.29129129e-01,  1.33133133e-01,         1.37137137e-01,  1.41141141e-01,  1.45145145e-01,  1.49149149e-01,         1.53153153e-01,  1.57157157e-01,  1.61161161e-01,  1.65165165e-01,         1.69169169e-01,  1.73173173e-01,  1.77177177e-01,  1.81181181e-01,         1.85185185e-01,  1.89189189e-01,  1.93193193e-01,  1.97197197e-01,         2.01201201e-01,  2.05205205e-01,  2.09209209e-01,  2.13213213e-01,         2.17217217e-01,  2.21221221e-01,  2.25225225e-01,  2.29229229e-01,         2.33233233e-01,  2.37237237e-01,  2.41241241e-01,  2.45245245e-01,         2.49249249e-01,  2.53253253e-01,  2.57257257e-01,  2.61261261e-01,         2.65265265e-01,  2.69269269e-01,  2.73273273e-01,  2.77277277e-01,         2.81281281e-01,  2.85285285e-01,  2.89289289e-01,  2.93293293e-01,         2.97297297e-01,  3.01301301e-01,  3.05305305e-01,  3.09309309e-01,         3.13313313e-01,  3.17317317e-01,  3.21321321e-01,  3.25325325e-01,         3.29329329e-01,  3.33333333e-01,  3.37337337e-01,  3.41341341e-01,         3.45345345e-01,  3.49349349e-01,  3.53353353e-01,  3.57357357e-01,         3.61361361e-01,  3.65365365e-01,  3.69369369e-01,  3.73373373e-01,         3.77377377e-01,  3.81381381e-01,  3.85385385e-01,  3.89389389e-01,         3.93393393e-01,  3.97397397e-01,  4.01401401e-01,  4.05405405e-01,         4.09409409e-01,  4.13413413e-01,  4.17417417e-01,  4.21421421e-01,         4.25425425e-01,  4.29429429e-01,  4.33433433e-01,  4.37437437e-01,         4.41441441e-01,  4.45445445e-01,  4.49449449e-01,  4.53453453e-01,         4.57457457e-01,  4.61461461e-01,  4.65465465e-01,  4.69469469e-01,         4.73473473e-01,  4.77477477e-01,  4.81481481e-01,  4.85485485e-01,         4.89489489e-01,  4.93493493e-01,  4.97497497e-01,  5.01501502e-01,         5.05505506e-01,  5.09509510e-01,  5.13513514e-01,  5.17517518e-01,         5.21521522e-01,  5.25525526e-01,  5.29529530e-01,  5.33533534e-01,         5.37537538e-01,  5.41541542e-01,  5.45545546e-01,  5.49549550e-01,         5.53553554e-01,  5.57557558e-01,  5.61561562e-01,  5.65565566e-01,         5.69569570e-01,  5.73573574e-01,  5.77577578e-01,  5.81581582e-01,         5.85585586e-01,  5.89589590e-01,  5.93593594e-01,  5.97597598e-01,         6.01601602e-01,  6.05605606e-01,  6.09609610e-01,  6.13613614e-01,         6.17617618e-01,  6.21621622e-01,  6.25625626e-01,  6.29629630e-01,         6.33633634e-01,  6.37637638e-01,  6.41641642e-01,  6.45645646e-01,         6.49649650e-01,  6.53653654e-01,  6.57657658e-01,  6.61661662e-01,         6.65665666e-01,  6.69669670e-01,  6.73673674e-01,  6.77677678e-01,         6.81681682e-01,  6.85685686e-01,  6.89689690e-01,  6.93693694e-01,         6.97697698e-01,  7.01701702e-01,  7.05705706e-01,  7.09709710e-01,         7.13713714e-01,  7.17717718e-01,  7.21721722e-01,  7.25725726e-01,         7.29729730e-01,  7.33733734e-01,  7.37737738e-01,  7.41741742e-01,         7.45745746e-01,  7.49749750e-01,  7.53753754e-01,  7.57757758e-01,         7.61761762e-01,  7.65765766e-01,  7.69769770e-01,  7.73773774e-01,         7.77777778e-01,  7.81781782e-01,  7.85785786e-01,  7.89789790e-01,         7.93793794e-01,  7.97797798e-01,  8.01801802e-01,  8.05805806e-01,         8.09809810e-01,  8.13813814e-01,  8.17817818e-01,  8.21821822e-01,         8.25825826e-01,  8.29829830e-01,  8.33833834e-01,  8.37837838e-01,         8.41841842e-01,  8.45845846e-01,  8.49849850e-01,  8.53853854e-01,         8.57857858e-01,  8.61861862e-01,  8.65865866e-01,  8.69869870e-01,         8.73873874e-01,  8.77877878e-01,  8.81881882e-01,  8.85885886e-01,         8.89889890e-01,  8.93893894e-01,  8.97897898e-01,  9.01901902e-01,         9.05905906e-01,  9.09909910e-01,  9.13913914e-01,  9.17917918e-01,         9.21921922e-01,  9.25925926e-01,  9.29929930e-01,  9.33933934e-01,         9.37937938e-01,  9.41941942e-01,  9.45945946e-01,  9.49949950e-01,         9.53953954e-01,  9.57957958e-01,  9.61961962e-01,  9.65965966e-01,         9.69969970e-01,  9.73973974e-01,  9.77977978e-01,  9.81981982e-01,         9.85985986e-01,  9.89989990e-01,  9.93993994e-01,  9.97997998e-01,         1.00200200e+00,  1.00600601e+00,  1.01001001e+00,  1.01401401e+00,         1.01801802e+00,  1.02202202e+00,  1.02602603e+00,  1.03003003e+00,         1.03403403e+00,  1.03803804e+00,  1.04204204e+00,  1.04604605e+00,         1.05005005e+00,  1.05405405e+00,  1.05805806e+00,  1.06206206e+00,         1.06606607e+00,  1.07007007e+00,  1.07407407e+00,  1.07807808e+00,         1.08208208e+00,  1.08608609e+00,  1.09009009e+00,  1.09409409e+00,         1.09809810e+00,  1.10210210e+00,  1.10610611e+00,  1.11011011e+00,         1.11411411e+00,  1.11811812e+00,  1.12212212e+00,  1.12612613e+00,         1.13013013e+00,  1.13413413e+00,  1.13813814e+00,  1.14214214e+00,         1.14614615e+00,  1.15015015e+00,  1.15415415e+00,  1.15815816e+00,         1.16216216e+00,  1.16616617e+00,  1.17017017e+00,  1.17417417e+00,         1.17817818e+00,  1.18218218e+00,  1.18618619e+00,  1.19019019e+00,         1.19419419e+00,  1.19819820e+00,  1.20220220e+00,  1.20620621e+00,         1.21021021e+00,  1.21421421e+00,  1.21821822e+00,  1.22222222e+00,         1.22622623e+00,  1.23023023e+00,  1.23423423e+00,  1.23823824e+00,         1.24224224e+00,  1.24624625e+00,  1.25025025e+00,  1.25425425e+00,         1.25825826e+00,  1.26226226e+00,  1.26626627e+00,  1.27027027e+00,         1.27427427e+00,  1.27827828e+00,  1.28228228e+00,  1.28628629e+00,         1.29029029e+00,  1.29429429e+00,  1.29829830e+00,  1.30230230e+00,         1.30630631e+00,  1.31031031e+00,  1.31431431e+00,  1.31831832e+00,         1.32232232e+00,  1.32632633e+00,  1.33033033e+00,  1.33433433e+00,         1.33833834e+00,  1.34234234e+00,  1.34634635e+00,  1.35035035e+00,         1.35435435e+00,  1.35835836e+00,  1.36236236e+00,  1.36636637e+00,         1.37037037e+00,  1.37437437e+00,  1.37837838e+00,  1.38238238e+00,         1.38638639e+00,  1.39039039e+00,  1.39439439e+00,  1.39839840e+00,         1.40240240e+00,  1.40640641e+00,  1.41041041e+00,  1.41441441e+00,         1.41841842e+00,  1.42242242e+00,  1.42642643e+00,  1.43043043e+00,         1.43443443e+00,  1.43843844e+00,  1.44244244e+00,  1.44644645e+00,         1.45045045e+00,  1.45445445e+00,  1.45845846e+00,  1.46246246e+00,         1.46646647e+00,  1.47047047e+00,  1.47447447e+00,  1.47847848e+00,         1.48248248e+00,  1.48648649e+00,  1.49049049e+00,  1.49449449e+00,         1.49849850e+00,  1.50250250e+00,  1.50650651e+00,  1.51051051e+00,         1.51451451e+00,  1.51851852e+00,  1.52252252e+00,  1.52652653e+00,         1.53053053e+00,  1.53453453e+00,  1.53853854e+00,  1.54254254e+00,         1.54654655e+00,  1.55055055e+00,  1.55455455e+00,  1.55855856e+00,         1.56256256e+00,  1.56656657e+00,  1.57057057e+00,  1.57457457e+00,         1.57857858e+00,  1.58258258e+00,  1.58658659e+00,  1.59059059e+00,         1.59459459e+00,  1.59859860e+00,  1.60260260e+00,  1.60660661e+00,         1.61061061e+00,  1.61461461e+00,  1.61861862e+00,  1.62262262e+00,         1.62662663e+00,  1.63063063e+00,  1.63463463e+00,  1.63863864e+00,         1.64264264e+00,  1.64664665e+00,  1.65065065e+00,  1.65465465e+00,         1.65865866e+00,  1.66266266e+00,  1.66666667e+00,  1.67067067e+00,         1.67467467e+00,  1.67867868e+00,  1.68268268e+00,  1.68668669e+00,         1.69069069e+00,  1.69469469e+00,  1.69869870e+00,  1.70270270e+00,         1.70670671e+00,  1.71071071e+00,  1.71471471e+00,  1.71871872e+00,         1.72272272e+00,  1.72672673e+00,  1.73073073e+00,  1.73473473e+00,         1.73873874e+00,  1.74274274e+00,  1.74674675e+00,  1.75075075e+00,         1.75475475e+00,  1.75875876e+00,  1.76276276e+00,  1.76676677e+00,         1.77077077e+00,  1.77477477e+00,  1.77877878e+00,  1.78278278e+00,         1.78678679e+00,  1.79079079e+00,  1.79479479e+00,  1.79879880e+00,         1.80280280e+00,  1.80680681e+00,  1.81081081e+00,  1.81481481e+00,         1.81881882e+00,  1.82282282e+00,  1.82682683e+00,  1.83083083e+00,         1.83483483e+00,  1.83883884e+00,  1.84284284e+00,  1.84684685e+00,         1.85085085e+00,  1.85485485e+00,  1.85885886e+00,  1.86286286e+00,         1.86686687e+00,  1.87087087e+00,  1.87487487e+00,  1.87887888e+00,         1.88288288e+00,  1.88688689e+00,  1.89089089e+00,  1.89489489e+00,         1.89889890e+00,  1.90290290e+00,  1.90690691e+00,  1.91091091e+00,         1.91491491e+00,  1.91891892e+00,  1.92292292e+00,  1.92692693e+00,         1.93093093e+00,  1.93493493e+00,  1.93893894e+00,  1.94294294e+00,         1.94694695e+00,  1.95095095e+00,  1.95495495e+00,  1.95895896e+00,         1.96296296e+00,  1.96696697e+00,  1.97097097e+00,  1.97497497e+00,         1.97897898e+00,  1.98298298e+00,  1.98698699e+00,  1.99099099e+00,         1.99499499e+00,  1.99899900e+00,  2.00300300e+00,  2.00700701e+00,         2.01101101e+00,  2.01501502e+00,  2.01901902e+00,  2.02302302e+00,         2.02702703e+00,  2.03103103e+00,  2.03503504e+00,  2.03903904e+00,         2.04304304e+00,  2.04704705e+00,  2.05105105e+00,  2.05505506e+00,         2.05905906e+00,  2.06306306e+00,  2.06706707e+00,  2.07107107e+00,         2.07507508e+00,  2.07907908e+00,  2.08308308e+00,  2.08708709e+00,         2.09109109e+00,  2.09509510e+00,  2.09909910e+00,  2.10310310e+00,         2.10710711e+00,  2.11111111e+00,  2.11511512e+00,  2.11911912e+00,         2.12312312e+00,  2.12712713e+00,  2.13113113e+00,  2.13513514e+00,         2.13913914e+00,  2.14314314e+00,  2.14714715e+00,  2.15115115e+00,         2.15515516e+00,  2.15915916e+00,  2.16316316e+00,  2.16716717e+00,         2.17117117e+00,  2.17517518e+00,  2.17917918e+00,  2.18318318e+00,         2.18718719e+00,  2.19119119e+00,  2.19519520e+00,  2.19919920e+00,         2.20320320e+00,  2.20720721e+00,  2.21121121e+00,  2.21521522e+00,         2.21921922e+00,  2.22322322e+00,  2.22722723e+00,  2.23123123e+00,         2.23523524e+00,  2.23923924e+00,  2.24324324e+00,  2.24724725e+00,         2.25125125e+00,  2.25525526e+00,  2.25925926e+00,  2.26326326e+00,         2.26726727e+00,  2.27127127e+00,  2.27527528e+00,  2.27927928e+00,         2.28328328e+00,  2.28728729e+00,  2.29129129e+00,  2.29529530e+00,         2.29929930e+00,  2.30330330e+00,  2.30730731e+00,  2.31131131e+00,         2.31531532e+00,  2.31931932e+00,  2.32332332e+00,  2.32732733e+00,         2.33133133e+00,  2.33533534e+00,  2.33933934e+00,  2.34334334e+00,         2.34734735e+00,  2.35135135e+00,  2.35535536e+00,  2.35935936e+00,         2.36336336e+00,  2.36736737e+00,  2.37137137e+00,  2.37537538e+00,         2.37937938e+00,  2.38338338e+00,  2.38738739e+00,  2.39139139e+00,         2.39539540e+00,  2.39939940e+00,  2.40340340e+00,  2.40740741e+00,         2.41141141e+00,  2.41541542e+00,  2.41941942e+00,  2.42342342e+00,         2.42742743e+00,  2.43143143e+00,  2.43543544e+00,  2.43943944e+00,         2.44344344e+00,  2.44744745e+00,  2.45145145e+00,  2.45545546e+00,         2.45945946e+00,  2.46346346e+00,  2.46746747e+00,  2.47147147e+00,         2.47547548e+00,  2.47947948e+00,  2.48348348e+00,  2.48748749e+00,         2.49149149e+00,  2.49549550e+00,  2.49949950e+00,  2.50350350e+00,         2.50750751e+00,  2.51151151e+00,  2.51551552e+00,  2.51951952e+00,         2.52352352e+00,  2.52752753e+00,  2.53153153e+00,  2.53553554e+00,         2.53953954e+00,  2.54354354e+00,  2.54754755e+00,  2.55155155e+00,         2.55555556e+00,  2.55955956e+00,  2.56356356e+00,  2.56756757e+00,         2.57157157e+00,  2.57557558e+00,  2.57957958e+00,  2.58358358e+00,         2.58758759e+00,  2.59159159e+00,  2.59559560e+00,  2.59959960e+00,         2.60360360e+00,  2.60760761e+00,  2.61161161e+00,  2.61561562e+00,         2.61961962e+00,  2.62362362e+00,  2.62762763e+00,  2.63163163e+00,         2.63563564e+00,  2.63963964e+00,  2.64364364e+00,  2.64764765e+00,         2.65165165e+00,  2.65565566e+00,  2.65965966e+00,  2.66366366e+00,         2.66766767e+00,  2.67167167e+00,  2.67567568e+00,  2.67967968e+00,         2.68368368e+00,  2.68768769e+00,  2.69169169e+00,  2.69569570e+00,         2.69969970e+00,  2.70370370e+00,  2.70770771e+00,  2.71171171e+00,         2.71571572e+00,  2.71971972e+00,  2.72372372e+00,  2.72772773e+00,         2.73173173e+00,  2.73573574e+00,  2.73973974e+00,  2.74374374e+00,         2.74774775e+00,  2.75175175e+00,  2.75575576e+00,  2.75975976e+00,         2.76376376e+00,  2.76776777e+00,  2.77177177e+00,  2.77577578e+00,         2.77977978e+00,  2.78378378e+00,  2.78778779e+00,  2.79179179e+00,         2.79579580e+00,  2.79979980e+00,  2.80380380e+00,  2.80780781e+00,         2.81181181e+00,  2.81581582e+00,  2.81981982e+00,  2.82382382e+00,         2.82782783e+00,  2.83183183e+00,  2.83583584e+00,  2.83983984e+00,         2.84384384e+00,  2.84784785e+00,  2.85185185e+00,  2.85585586e+00,         2.85985986e+00,  2.86386386e+00,  2.86786787e+00,  2.87187187e+00,         2.87587588e+00,  2.87987988e+00,  2.88388388e+00,  2.88788789e+00,         2.89189189e+00,  2.89589590e+00,  2.89989990e+00,  2.90390390e+00,         2.90790791e+00,  2.91191191e+00,  2.91591592e+00,  2.91991992e+00,         2.92392392e+00,  2.92792793e+00,  2.93193193e+00,  2.93593594e+00,         2.93993994e+00,  2.94394394e+00,  2.94794795e+00,  2.95195195e+00,         2.95595596e+00,  2.95995996e+00,  2.96396396e+00,  2.96796797e+00,         2.97197197e+00,  2.97597598e+00,  2.97997998e+00,  2.98398398e+00,         2.98798799e+00,  2.99199199e+00,  2.99599600e+00,  3.00000000e+00])

Container for the log10 temperatures of \(g_\text{eff}\) data

GEFF_DATA_TEMP: ndarray = array([1.00000000e-01, 1.00926219e-01, 1.01861017e-01, 1.02804473e-01,        1.03756668e-01, 1.04717682e-01, 1.05687597e-01, 1.06666496e-01,        1.07654461e-01, 1.08651577e-01, 1.09657929e-01, 1.10673602e-01,        1.11698682e-01, 1.12733256e-01, 1.13777413e-01, 1.14831241e-01,        1.15894830e-01, 1.16968270e-01, 1.18051653e-01, 1.19145070e-01,        1.20248614e-01, 1.21362380e-01, 1.22486461e-01, 1.23620954e-01,        1.24765955e-01, 1.25921561e-01, 1.27087871e-01, 1.28264983e-01,        1.29452998e-01, 1.30652016e-01, 1.31862140e-01, 1.33083472e-01,        1.34316117e-01, 1.35560179e-01, 1.36815763e-01, 1.38082977e-01,        1.39361927e-01, 1.40652724e-01, 1.41955477e-01, 1.43270295e-01,        1.44597292e-01, 1.45936580e-01, 1.47288272e-01, 1.48652484e-01,        1.50029332e-01, 1.51418933e-01, 1.52821404e-01, 1.54236865e-01,        1.55665436e-01, 1.57107239e-01, 1.58562396e-01, 1.60031031e-01,        1.61513269e-01, 1.63009236e-01, 1.64519059e-01, 1.66042866e-01,        1.67580786e-01, 1.69132952e-01, 1.70699493e-01, 1.72280545e-01,        1.73876240e-01, 1.75486715e-01, 1.77112106e-01, 1.78752553e-01,        1.80408193e-01, 1.82079168e-01, 1.83765620e-01, 1.85467692e-01,        1.87185529e-01, 1.88919278e-01, 1.90669084e-01, 1.92435098e-01,        1.94217468e-01, 1.96016347e-01, 1.97831888e-01, 1.99664245e-01,        2.01513573e-01, 2.03380031e-01, 2.05263775e-01, 2.07164968e-01,        2.09083769e-01, 2.11020343e-01, 2.12974854e-01, 2.14947467e-01,        2.16938352e-01, 2.18947676e-01, 2.20975611e-01, 2.23022330e-01,        2.25088005e-01, 2.27172813e-01, 2.29276931e-01, 2.31400538e-01,        2.33543814e-01, 2.35706941e-01, 2.37890104e-01, 2.40093488e-01,        2.42317279e-01, 2.44561668e-01, 2.46826845e-01, 2.49113003e-01,        2.51420335e-01, 2.53749038e-01, 2.56099310e-01, 2.58471351e-01,        2.60865362e-01, 2.63281547e-01, 2.65720111e-01, 2.68181261e-01,        2.70665207e-01, 2.73172160e-01, 2.75702333e-01, 2.78255940e-01,        2.80833200e-01, 2.83434331e-01, 2.86059554e-01, 2.88709092e-01,        2.91383170e-01, 2.94082017e-01, 2.96805861e-01, 2.99554933e-01,        3.02329468e-01, 3.05129702e-01, 3.07955871e-01, 3.10808217e-01,        3.13686982e-01, 3.16592411e-01, 3.19524751e-01, 3.22484250e-01,        3.25471161e-01, 3.28485737e-01, 3.31528234e-01, 3.34598912e-01,        3.37698031e-01, 3.40825855e-01, 3.43982649e-01, 3.47168682e-01,        3.50384225e-01, 3.53629550e-01, 3.56904935e-01, 3.60210656e-01,        3.63546996e-01, 3.66914238e-01, 3.70312668e-01, 3.73742574e-01,        3.77204249e-01, 3.80697987e-01, 3.84224085e-01, 3.87782841e-01,        3.91374560e-01, 3.94999546e-01, 3.98658107e-01, 4.02350555e-01,        4.06077203e-01, 4.09838367e-01, 4.13634368e-01, 4.17465529e-01,        4.21332174e-01, 4.25234633e-01, 4.29173238e-01, 4.33148322e-01,        4.37160225e-01, 4.41209286e-01, 4.45295851e-01, 4.49420266e-01,        4.53582883e-01, 4.57784054e-01, 4.62024137e-01, 4.66303493e-01,        4.70622485e-01, 4.74981480e-01, 4.79380850e-01, 4.83820966e-01,        4.88302209e-01, 4.92824957e-01, 4.97389596e-01, 5.01996513e-01,        5.06646101e-01, 5.11338754e-01, 5.16074871e-01, 5.20854855e-01,        5.25679112e-01, 5.30548053e-01, 5.35462090e-01, 5.40421642e-01,        5.45427131e-01, 5.50478981e-01, 5.55577622e-01, 5.60723488e-01,        5.65917016e-01, 5.71158648e-01, 5.76448828e-01, 5.81788007e-01,        5.87176639e-01, 5.92615181e-01, 5.98104096e-01, 6.03643851e-01,        6.09234915e-01, 6.14877765e-01, 6.20572881e-01, 6.26320745e-01,        6.32121848e-01, 6.37976681e-01, 6.43885743e-01, 6.49849535e-01,        6.55868566e-01, 6.61943346e-01, 6.68074392e-01, 6.74262224e-01,        6.80507370e-01, 6.86810359e-01, 6.93171728e-01, 6.99592017e-01,        7.06071771e-01, 7.12611543e-01, 7.19211887e-01, 7.25873365e-01,        7.32596543e-01, 7.39381992e-01, 7.46230289e-01, 7.53142017e-01,        7.60117762e-01, 7.67158118e-01, 7.74263683e-01, 7.81435061e-01,        7.88672862e-01, 7.95977700e-01, 8.03350198e-01, 8.10790981e-01,        8.18300682e-01, 8.25879939e-01, 8.33529397e-01, 8.41249705e-01,        8.49041520e-01, 8.56905505e-01, 8.64842328e-01, 8.72852662e-01,        8.80937190e-01, 8.89096599e-01, 8.97331581e-01, 9.05642838e-01,        9.14031075e-01, 9.22497005e-01, 9.31041349e-01, 9.39664831e-01,        9.48368187e-01, 9.57152154e-01, 9.66017480e-01, 9.74964918e-01,        9.83995230e-01, 9.93109181e-01, 1.00230755e+00, 1.01159111e+00,        1.02096066e+00, 1.03041699e+00, 1.03996091e+00, 1.04959323e+00,        1.05931476e+00, 1.06912634e+00, 1.07902879e+00, 1.08902296e+00,        1.09910970e+00, 1.10928986e+00, 1.11956432e+00, 1.12993394e+00,        1.14039960e+00, 1.15096220e+00, 1.16162263e+00, 1.17238180e+00,        1.18324063e+00, 1.19420003e+00, 1.20526094e+00, 1.21642429e+00,        1.22769105e+00, 1.23906216e+00, 1.25053859e+00, 1.26212131e+00,        1.27381132e+00, 1.28560961e+00, 1.29751717e+00, 1.30953502e+00,        1.32166418e+00, 1.33390569e+00, 1.34626058e+00, 1.35872990e+00,        1.37131472e+00, 1.38401610e+00, 1.39683512e+00, 1.40977287e+00,        1.42283046e+00, 1.43600898e+00, 1.44930957e+00, 1.46273336e+00,        1.47628147e+00, 1.48995507e+00, 1.50375532e+00, 1.51768339e+00,        1.53174046e+00, 1.54592774e+00, 1.56024641e+00, 1.57469771e+00,        1.58928287e+00, 1.60400311e+00, 1.61885969e+00, 1.63385388e+00,        1.64898694e+00, 1.66426018e+00, 1.67967487e+00, 1.69523234e+00,        1.71093391e+00, 1.72678090e+00, 1.74277468e+00, 1.75891659e+00,        1.77520801e+00, 1.79165033e+00, 1.80824493e+00, 1.82499324e+00,        1.84189668e+00, 1.85895668e+00, 1.87617469e+00, 1.89355218e+00,        1.91109062e+00, 1.92879151e+00, 1.94665634e+00, 1.96468665e+00,        1.98288395e+00, 2.00124980e+00, 2.01978576e+00, 2.03849340e+00,        2.05737431e+00, 2.07643011e+00, 2.09566240e+00, 2.11507282e+00,        2.13466303e+00, 2.15443469e+00, 2.17438948e+00, 2.19452909e+00,        2.21485523e+00, 2.23536965e+00, 2.25607407e+00, 2.27697026e+00,        2.29805999e+00, 2.31934506e+00, 2.34082728e+00, 2.36250847e+00,        2.38439047e+00, 2.40647515e+00, 2.42876438e+00, 2.45126006e+00,        2.47396410e+00, 2.49687843e+00, 2.52000499e+00, 2.54334576e+00,        2.56690272e+00, 2.59067786e+00, 2.61467321e+00, 2.63889081e+00,        2.66333273e+00, 2.68800102e+00, 2.71289780e+00, 2.73802518e+00,        2.76338529e+00, 2.78898029e+00, 2.81481236e+00, 2.84088369e+00,        2.86719650e+00, 2.89375302e+00, 2.92055551e+00, 2.94760626e+00,        2.97490755e+00, 3.00246171e+00, 3.03027108e+00, 3.05833803e+00,        3.08666494e+00, 3.11525422e+00, 3.14410830e+00, 3.17322963e+00,        3.20262069e+00, 3.23228398e+00, 3.26222201e+00, 3.29243733e+00,        3.32293252e+00, 3.35371015e+00, 3.38477286e+00, 3.41612327e+00,        3.44776405e+00, 3.47969790e+00, 3.51192753e+00, 3.54445567e+00,        3.57728510e+00, 3.61041860e+00, 3.64385898e+00, 3.67760910e+00,        3.71167182e+00, 3.74605003e+00, 3.78074666e+00, 3.81576466e+00,        3.85110700e+00, 3.88677669e+00, 3.92277676e+00, 3.95911027e+00,        3.99578030e+00, 4.03278998e+00, 4.07014245e+00, 4.10784089e+00,        4.14588850e+00, 4.18428851e+00, 4.22304419e+00, 4.26215883e+00,        4.30163576e+00, 4.34147833e+00, 4.38168993e+00, 4.42227398e+00,        4.46323393e+00, 4.50457325e+00, 4.54629547e+00, 4.58840413e+00,        4.63090280e+00, 4.67379511e+00, 4.71708469e+00, 4.76077523e+00,        4.80487044e+00, 4.84937407e+00, 4.89428990e+00, 4.93962174e+00,        4.98537346e+00, 5.03154895e+00, 5.07815211e+00, 5.12518693e+00,        5.17265739e+00, 5.22056753e+00, 5.26892142e+00, 5.31772318e+00,        5.36697695e+00, 5.41668691e+00, 5.46685730e+00, 5.51749238e+00,        5.56859644e+00, 5.62017385e+00, 5.67222897e+00, 5.72476624e+00,        5.77779012e+00, 5.83130511e+00, 5.88531578e+00, 5.93982669e+00,        5.99484250e+00, 6.05036788e+00, 6.10640754e+00, 6.16296626e+00,        6.22004883e+00, 6.27766011e+00, 6.33580499e+00, 6.39448843e+00,        6.45371540e+00, 6.51349095e+00, 6.57382014e+00, 6.63470812e+00,        6.69616005e+00, 6.75818117e+00, 6.82077673e+00, 6.88395207e+00,        6.94771255e+00, 7.01206359e+00, 7.07701066e+00, 7.14255929e+00,        7.20871503e+00, 7.27548353e+00, 7.34287045e+00, 7.41088152e+00,        7.47952252e+00, 7.54879928e+00, 7.61871770e+00, 7.68928372e+00,        7.76050334e+00, 7.83238260e+00, 7.90492762e+00, 7.97814457e+00,        8.05203967e+00, 8.12661920e+00, 8.20188950e+00, 8.27785697e+00,        8.35452806e+00, 8.43190929e+00, 8.51000725e+00, 8.58882856e+00,        8.66837993e+00, 8.74866812e+00, 8.82969996e+00, 8.91148232e+00,        8.99402217e+00, 9.07732653e+00, 9.16140246e+00, 9.24625712e+00,        9.33189772e+00, 9.41833153e+00, 9.50556592e+00, 9.59360829e+00,        9.68246612e+00, 9.77214697e+00, 9.86265846e+00, 9.95400829e+00,        1.00462042e+01, 1.01392541e+01, 1.02331658e+01, 1.03279473e+01,        1.04236067e+01, 1.05201522e+01, 1.06175918e+01, 1.07159340e+01,        1.08151870e+01, 1.09153594e+01, 1.10164595e+01, 1.11184960e+01,        1.12214777e+01, 1.13254132e+01, 1.14303113e+01, 1.15361810e+01,        1.16430313e+01, 1.17508713e+01, 1.18597101e+01, 1.19695570e+01,        1.20804213e+01, 1.21923125e+01, 1.23052400e+01, 1.24192135e+01,        1.25342427e+01, 1.26503372e+01, 1.27675070e+01, 1.28857621e+01,        1.30051125e+01, 1.31255684e+01, 1.32471399e+01, 1.33698374e+01,        1.34936714e+01, 1.36186524e+01, 1.37447909e+01, 1.38720978e+01,        1.40005838e+01, 1.41302599e+01, 1.42611371e+01, 1.43932264e+01,        1.45265393e+01, 1.46610868e+01, 1.47968806e+01, 1.49339322e+01,        1.50722531e+01, 1.52118552e+01, 1.53527503e+01, 1.54949504e+01,        1.56384676e+01, 1.57833141e+01, 1.59295021e+01, 1.60770442e+01,        1.62259529e+01, 1.63762407e+01, 1.65279206e+01, 1.66810054e+01,        1.68355080e+01, 1.69914417e+01, 1.71488197e+01, 1.73076553e+01,        1.74679622e+01, 1.76297538e+01, 1.77930439e+01, 1.79578465e+01,        1.81241755e+01, 1.82920450e+01, 1.84614695e+01, 1.86324631e+01,        1.88050406e+01, 1.89792164e+01, 1.91550056e+01, 1.93324229e+01,        1.95114835e+01, 1.96922026e+01, 1.98745955e+01, 2.00586778e+01,        2.02444651e+01, 2.04319732e+01, 2.06212180e+01, 2.08122157e+01,        2.10049824e+01, 2.11995346e+01, 2.13958887e+01, 2.15940615e+01,        2.17940698e+01, 2.19959307e+01, 2.21996612e+01, 2.24052787e+01,        2.26128007e+01, 2.28222447e+01, 2.30336287e+01, 2.32469706e+01,        2.34622885e+01, 2.36796007e+01, 2.38989257e+01, 2.41202821e+01,        2.43436887e+01, 2.45691646e+01, 2.47967289e+01, 2.50264010e+01,        2.52582003e+01, 2.54921465e+01, 2.57282597e+01, 2.59665597e+01,        2.62070670e+01, 2.64498018e+01, 2.66947849e+01, 2.69420371e+01,        2.71915794e+01, 2.74434330e+01, 2.76976194e+01, 2.79541600e+01,        2.82130768e+01, 2.84743917e+01, 2.87381269e+01, 2.90043049e+01,        2.92729484e+01, 2.95440800e+01, 2.98177229e+01, 3.00939003e+01,        3.03726358e+01, 3.06539530e+01, 3.09378757e+01, 3.12244282e+01,        3.15136348e+01, 3.18055202e+01, 3.21001090e+01, 3.23974263e+01,        3.26974974e+01, 3.30003479e+01, 3.33060034e+01, 3.36144900e+01,        3.39258338e+01, 3.42400614e+01, 3.45571994e+01, 3.48772747e+01,        3.52003147e+01, 3.55263468e+01, 3.58553986e+01, 3.61874981e+01,        3.65226736e+01, 3.68609536e+01, 3.72023668e+01, 3.75469422e+01,        3.78947092e+01, 3.82456972e+01, 3.85999362e+01, 3.89574562e+01,        3.93182876e+01, 3.96824610e+01, 4.00500076e+01, 4.04209584e+01,        4.07953450e+01, 4.11731993e+01, 4.15545533e+01, 4.19394396e+01,        4.23278907e+01, 4.27199397e+01, 4.31156199e+01, 4.35149650e+01,        4.39180089e+01, 4.43247859e+01, 4.47353305e+01, 4.51496777e+01,        4.55678627e+01, 4.59899209e+01, 4.64158883e+01, 4.68458012e+01,        4.72796959e+01, 4.77176095e+01, 4.81595791e+01, 4.86056423e+01,        4.90558371e+01, 4.95102016e+01, 4.99687745e+01, 5.04315949e+01,        5.08987019e+01, 5.13701354e+01, 5.18459354e+01, 5.23261424e+01,        5.28107971e+01, 5.32999408e+01, 5.37936150e+01, 5.42918618e+01,        5.47947234e+01, 5.53022426e+01, 5.58144625e+01, 5.63314267e+01,        5.68531791e+01, 5.73797641e+01, 5.79112265e+01, 5.84476113e+01,        5.89889643e+01, 5.95353313e+01, 6.00867589e+01, 6.06432940e+01,        6.12049837e+01, 6.17718760e+01, 6.23440189e+01, 6.29214611e+01,        6.35042517e+01, 6.40924402e+01, 6.46860766e+01, 6.52852114e+01,        6.58898955e+01, 6.65001803e+01, 6.71161177e+01, 6.77377600e+01,        6.83651600e+01, 6.89983712e+01, 6.96374473e+01, 7.02824426e+01,        7.09334120e+01, 7.15904109e+01, 7.22534949e+01, 7.29227206e+01,        7.35981448e+01, 7.42798248e+01, 7.49678187e+01, 7.56621850e+01,        7.63629826e+01, 7.70702711e+01, 7.77841107e+01, 7.85045620e+01,        7.92316862e+01, 7.99655453e+01, 8.07062014e+01, 8.14537177e+01,        8.22081576e+01, 8.29695852e+01, 8.37380654e+01, 8.45136633e+01,        8.52964450e+01, 8.60864770e+01, 8.68838264e+01, 8.76885609e+01,        8.85007491e+01, 8.93204600e+01, 9.01477631e+01, 9.09827289e+01,        9.18254284e+01, 9.26759330e+01, 9.35343152e+01, 9.44006479e+01,        9.52750047e+01, 9.61574600e+01, 9.70480888e+01, 9.79469667e+01,        9.88541702e+01, 9.97697764e+01, 1.00693863e+02, 1.01626509e+02,        1.02567793e+02, 1.03517796e+02, 1.04476597e+02, 1.05444279e+02,        1.06420924e+02, 1.07406615e+02, 1.08401436e+02, 1.09405471e+02,        1.10418805e+02, 1.11441525e+02, 1.12473718e+02, 1.13515471e+02,        1.14566873e+02, 1.15628013e+02, 1.16698982e+02, 1.17779870e+02,        1.18870770e+02, 1.19971774e+02, 1.21082975e+02, 1.22204469e+02,        1.23336350e+02, 1.24478715e+02, 1.25631660e+02, 1.26795285e+02,        1.27969687e+02, 1.29154967e+02, 1.30351224e+02, 1.31558562e+02,        1.32777083e+02, 1.34006890e+02, 1.35248087e+02, 1.36500781e+02,        1.37765077e+02, 1.39041083e+02, 1.40328908e+02, 1.41628662e+02,        1.42940453e+02, 1.44264395e+02, 1.45600600e+02, 1.46949180e+02,        1.48310251e+02, 1.49683929e+02, 1.51070330e+02, 1.52469573e+02,        1.53881775e+02, 1.55307057e+02, 1.56745541e+02, 1.58197348e+02,        1.59662602e+02, 1.61141428e+02, 1.62633950e+02, 1.64140297e+02,        1.65660596e+02, 1.67194976e+02, 1.68743568e+02, 1.70306503e+02,        1.71883914e+02, 1.73475936e+02, 1.75082703e+02, 1.76704353e+02,        1.78341022e+02, 1.79992851e+02, 1.81659979e+02, 1.83342548e+02,        1.85040702e+02, 1.86754584e+02, 1.88484341e+02, 1.90230119e+02,        1.91992067e+02, 1.93770334e+02, 1.95565072e+02, 1.97376433e+02,        1.99204571e+02, 2.01049642e+02, 2.02911802e+02, 2.04791210e+02,        2.06688025e+02, 2.08602409e+02, 2.10534524e+02, 2.12484535e+02,        2.14452608e+02, 2.16438909e+02, 2.18443607e+02, 2.20466874e+02,        2.22508880e+02, 2.24569800e+02, 2.26649808e+02, 2.28749082e+02,        2.30867799e+02, 2.33006141e+02, 2.35164288e+02, 2.37342425e+02,        2.39540736e+02, 2.41759408e+02, 2.43998630e+02, 2.46258592e+02,        2.48539486e+02, 2.50841506e+02, 2.53164848e+02, 2.55509709e+02,        2.57876289e+02, 2.60264788e+02, 2.62675410e+02, 2.65108360e+02,        2.67563844e+02, 2.70042072e+02, 2.72543253e+02, 2.75067601e+02,        2.77615329e+02, 2.80186656e+02, 2.82781798e+02, 2.85400977e+02,        2.88044415e+02, 2.90712338e+02, 2.93404971e+02, 2.96122544e+02,        2.98865287e+02, 3.01633435e+02, 3.04427221e+02, 3.07246884e+02,        3.10092664e+02, 3.12964801e+02, 3.15863541e+02, 3.18789129e+02,        3.21741815e+02, 3.24721849e+02, 3.27729485e+02, 3.30764978e+02,        3.33828586e+02, 3.36920571e+02, 3.40041193e+02, 3.43190720e+02,        3.46369418e+02, 3.49577557e+02, 3.52815412e+02, 3.56083255e+02,        3.59381366e+02, 3.62710025e+02, 3.66069515e+02, 3.69460121e+02,        3.72882131e+02, 3.76335836e+02, 3.79821531e+02, 3.83339510e+02,        3.86890074e+02, 3.90473524e+02, 3.94090164e+02, 3.97740302e+02,        4.01424249e+02, 4.05142317e+02, 4.08894823e+02, 4.12682085e+02,        4.16504425e+02, 4.20362168e+02, 4.24255643e+02, 4.28185180e+02,        4.32151113e+02, 4.36153779e+02, 4.40193519e+02, 4.44270675e+02,        4.48385595e+02, 4.52538628e+02, 4.56730127e+02, 4.60960449e+02,        4.65229952e+02, 4.69539001e+02, 4.73887961e+02, 4.78277202e+02,        4.82707097e+02, 4.87178022e+02, 4.91690358e+02, 4.96244488e+02,        5.00840799e+02, 5.05479682e+02, 5.10161531e+02, 5.14886745e+02,        5.19655724e+02, 5.24468875e+02, 5.29326606e+02, 5.34229330e+02,        5.39177464e+02, 5.44171429e+02, 5.49211648e+02, 5.54298552e+02,        5.59432571e+02, 5.64614142e+02, 5.69843706e+02, 5.75121707e+02,        5.80448594e+02, 5.85824820e+02, 5.91250841e+02, 5.96727120e+02,        6.02254120e+02, 6.07832313e+02, 6.13462172e+02, 6.19144176e+02,        6.24878807e+02, 6.30666554e+02, 6.36507908e+02, 6.42403366e+02,        6.48353429e+02, 6.54358602e+02, 6.60419396e+02, 6.66536327e+02,        6.72709914e+02, 6.78940681e+02, 6.85229160e+02, 6.91575883e+02,        6.97981391e+02, 7.04446228e+02, 7.10970943e+02, 7.17556092e+02,        7.24202233e+02, 7.30909933e+02, 7.37679760e+02, 7.44512291e+02,        7.51408106e+02, 7.58367791e+02, 7.65391939e+02, 7.72481145e+02,        7.79636013e+02, 7.86857151e+02, 7.94145172e+02, 8.01500696e+02,        8.08924349e+02, 8.16416760e+02, 8.23978568e+02, 8.31610415e+02,        8.39312950e+02, 8.47086827e+02, 8.54932707e+02, 8.62851257e+02,        8.70843150e+02, 8.78909065e+02, 8.87049689e+02, 8.95265713e+02,        9.03557835e+02, 9.11926760e+02, 9.20373200e+02, 9.28897872e+02,        9.37501502e+02, 9.46184819e+02, 9.54948564e+02, 9.63793480e+02,        9.72720319e+02, 9.81729841e+02, 9.90822810e+02, 1.00000000e+03])

Container for the temperatures of \(g_\text{eff}\) data

TEMPERATURE_IS_PHYSICAL: bool = False

Whether the temperature is in proper physics units

dge_dT(temp, phase)

\(\frac{dg_e}{dT}\)

Parameters:
Return type:

float | float64 | ndarray

dgs_dT(temp, phase)

\(\frac{dg_s}{dT}\)

Parameters:
Return type:

float | float64 | ndarray

export()

Export the model parameters to a dictionary. User-created model classes should extend this.

Return type:

Dict[str, any]

ge(temp, phase)

Effective degrees of freedom for the energy density \(g_{\text{eff},e}(T)\)

Parameters:
  • temp (float | float64 | ndarray) – temperature \(T\) (MeV)

  • phase (float | float64 | ndarray) – phase \(\phi\)

Returns:

\(g_{\text{eff},e}\)

Return type:

float | float64 | ndarray

gs(temp, phase)

Effective degrees of freedom for the entropy density, \(g_{\text{eff},s}(T)\)

Parameters:
  • temp (float | float64 | ndarray) – temperature \(T\) (MeV)

  • phase (float | float64 | ndarray) – phase \(\phi\)

Returns:

\(g_{\text{eff},s}\)

Return type:

float | float64 | ndarray