Alkali atom data

Hydrogen([preferQuantumDefects, cpp_numerov]) Properties of hydrogen atoms
Lithium6([preferQuantumDefects, cpp_numerov]) Properties of lithium 6 atoms
Lithium7([preferQuantumDefects, cpp_numerov]) Properties of lithium 7 atoms
Sodium([preferQuantumDefects, cpp_numerov]) Properties of sodium 23 atoms
Potassium([preferQuantumDefects, cpp_numerov]) backward compatibility: before only one class for Potassium existed and it corresponded to Potassium 39
Potassium39([preferQuantumDefects, cpp_numerov]) Properties of potassium 39 atoms
Potassium40([preferQuantumDefects, cpp_numerov]) Properties of potassium 40 atoms
Potassium41([preferQuantumDefects, cpp_numerov]) Properties of potassium 41 atoms
Rubidium([preferQuantumDefects, cpp_numerov]) backward compatibility: before there was only one Rubidium class, and that one corresponded to Rubidium85
Rubidium85([preferQuantumDefects, cpp_numerov]) Properites of rubidium 85 atoms
Rubidium87([preferQuantumDefects, cpp_numerov]) Properites of rubidium 87 atoms
Caesium([preferQuantumDefects, cpp_numerov]) Properties of caesium atoms

This module specifies properties of individual alkali metals.

If you want to change e.g. coefficients used for model potential, quantum defects, or other numerical values, this is the place to look at.

How to delete precalculated dipole/quadrupole matrix elements values and/or start a new database? To delete precalculated values, simply delete files, whose names are stated in dipoleMatrixElementFile, quadrupoleMatrixElementFile and precalculatedDB variables for the corresponding atom type, from data/ folder. Alternatively, if you want to keep old values, but want to also start completely new calculation of dipole matrix elements (e.g. because you changed parameters of energy levels significantly or model potential parameters), simply set new values for dipoleMatrixElementFile, quadrupoleMatrixElementFile and precalculatedDB variables.

Note that by default isotopes of Rubidium and Potassium are sharing precalculated dipole and quadrupole matrix elements. This is because the small energy level differences typically don’t change this matrix elements within a typical accuracy.

Data sources

[1](1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54) M. Marinescu, H. R. Sadeghpour, and A. Dalgarno, Phys.Rev.A 49, 982 (1994) https://doi.org/10.1103/PhysRevA.49.982
[2]K.-H. Weber and Craig J. Sansonetti, Phys.Rev.A 35, 4650 (1987)
[3](1, 2, 3, 4, 5, 6, 7, 8, 9) C.B.Alcock, V.P.Itkin, M.K.Horrigan, Canadian Metallurgical Quarterly, 23, 309 (1984) http://dx.doi.org/10.1179/cmq.1984.23.3.309
[4](1, 2) Wenhui Li, I. Mourachko, M. W. Noel, and T. F. Gallagher, Phys. Rev. A 67, 052502 (2003) https://doi.org/10.1103/PhysRevA.67.052502
[5](1, 2) Jianing Han, Yasir Jamil, D. V. L. Norum, Paul J. Tanner, and T. F. Gallagher, Phys. Rev. A 74, 054502 (2006) https://doi.org/10.1103/PhysRevA.74.054502
[6]Markus Mack, Florian Karlewski, Helge Hattermann, Simone Hockh, Florian Jessen, Daniel Cano, and Jozsef Fortagh, Phys. Rev. A 83, 052515 (2011), https://doi.org/10.1103/PhysRevA.83.052515
[7](1, 2) K. Afrousheh, P. Bohlouli-Zanjani, J. A. Petrus, and J. D. D. Martin, Phys. Rev. A 74, 062712 (2006) https://doi.org/10.1103/PhysRevA.74.062712
[8](1, 2) P. Goy, J. Liang, M. Gross, and S. Haroche, Phys. Rev. A 34, 2889 (1986) https://doi.org/10.1103/PhysRevA.34.2889
[9]Johannes Deiglmayr, Holger Herburger, Heiner Sassmannshausen, Paul Jansen, Hansjurg Schmutz, Frederic Merkt, Phys. Rev. A 93, 013424 (2016) https://doi.org/10.1103/PhysRevA.93.013424
[10]C. -J. Lorenzen, and K. Niemax, Z. Phys. A 315, 127 (1984) dx.doi.org/ 10.1007/BF01419370
[11](1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12)
  1. -J. Lorenzen, and K. Niemax, Physica Scripta 27, 300 (1983)
[12]NIST, P. Mohr and S. Kotochigova, unpublished calculations (2000). The wavelengths for the Balmer-alpha and Balmer-beta transitions at 6563 and 4861 \(\unicode{xC5}\) include only the stronger components of more extensive fine structures.
[13]
    1. Kelly, J. Phys. Chem. Ref. Data 16, Suppl. 1 (1987).
[14](1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17) J. S. Coursey, D. J. Schwab, J. J. Tsai, and R. A. Dragoset, (2015), Atomic Weights and Isotopic Compositions (version 4.1). Online Available: http://physics.nist.gov/Comp (2017, March, 14). National Institute of Standards and Technology, Gaithersburg, MD.
[15]B. Sanguinetti, H. O. Majeed, M. L. Jones and B. T. H. Varcoe, J. Phys. B 42, 165004 (2009) http://iopscience.iop.org/article/10.1088/0953-4075/42/16/165004/meta

Module

class arc.alkali_atom_data.Caesium(preferQuantumDefects=True, cpp_numerov=True)[source]

Properties of caesium atoms

a1 = [3.49546309, 4.69366096, 4.32466196, 3.01048361]

model potential parameters from [1]

a2 = [1.475338, 1.71398344, 1.61365288, 1.40000001]

model potential parameters from [1]

a3 = [-9.72143084, -24.6562428, -6.7012885, -3.20036138]

model potential parameters from [1]

a4 = [0.02629242, -0.09543125, -0.74095193, 0.00034538]

model potential parameters from [1]

alphaC = 15.644

model potential parameters from [1]

extraLevels = [[5, 2, 2.5], [5, 2, 1.5], [5, 3, 3.5], [5, 3, 2.5], [5, 4, 4.5], [5, 4, 3.5], [4, 3, 3.5], [4, 3, 2.5]]

levels that are for smaller n than ground level, but are above in energy due to angular part

getPressure(temperature)[source]

Pressure of atomic vapour at given temperature.

Uses equation and values from [3]. Values from table 2. (accuracy +- 5%) are used for Cs in solid phase. Values from table 3. (accuracy +-1 %) are used for Cs in liquid phase.

ionisationEnergy = 3.8939056946689456

(eV), Ref. [9].

quantumDefect = [[[4.04935665, 0.2377037, 0.255401, 0.00378, 0.25486, 0.0], [3.5915895, 0.360926, 0.41905, 0.64388, 1.45035, 0.0], [2.4754562, 0.00932, -0.43498, -0.76358, -18.0061, 0.0], [0.03341424, -0.198674, 0.28953, -0.2601, 0.0, 0.0], [0.00703865, -0.049252, 0.01291, 0.0, 0.0, 0.0]], [[4.04935665, 0.2377037, 0.255401, 0.00378, 0.25486, 0.0], [3.5589599, 0.392469, -0.67431, 22.3531, -92.289, 0.0], [2.46631524, 0.013577, -0.37457, -2.1867, -1.5532, -56.6739], [0.03341424, -0.198674, 0.28953, -0.2601, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]]

quantum defects for \(S_{1/2}\), \(nP_{1/2}\), \(D_{5/2}\), \(F_{5/2}\) and \(G_{7/2}\) are from [2], while quantum defects for \(nP_{3/2}\),:math:D_{3/2} are from [10],

Note

f_7/2 quantum defects are PUT TO BE EXACTLY the same as f_5/2 (~10MHz difference?!)

rc = [1.9204693, 2.13383095, 0.93007296, 1.99969677]

model potential parameters from [1]

scaledRydbergConstant = 13.605636850154157

in eV

class arc.alkali_atom_data.Hydrogen(preferQuantumDefects=True, cpp_numerov=True)[source]

Properties of hydrogen atoms

ionisationEnergy = 13.598433

(eV), Ref. [12].

mass = 1.6735328115071732e-27

source NIST, Atomic Weights and Isotopic Compositions [14]

potential(l, s, j, r)[source]

returns total potential that electron feels

Total potential = core potential + Spin-Orbit interaction

Parameters:
  • l (int) – orbital angular momentum
  • s (float) – spin angular momentum
  • j (float) – total angular momentum
  • r (float) – distance from the nucleus (in a.u.)
Returns:

potential (in a.u.)

Return type:

float

class arc.alkali_atom_data.Lithium6(preferQuantumDefects=True, cpp_numerov=True)[source]

Properties of lithium 6 atoms

a1 = [2.47718079, 3.45414648, 2.51909839, 2.51909839]

model potential parameters from [1]

a2 = [1.84150932, 2.5515108, 2.4371245, 2.4371245]

model potential parameters from [1]

a3 = [-0.02169712, -0.21646561, 0.32505524, 0.32505524]

model potential parameters from [1]

a4 = [-0.11988362, -0.06990078, 0.1060243, 0.1060243]

model potential parameters from [1]

abundance = 0.0759

source NIST, Atomic Weights and Isotopic Compositions [14]

alphaC = 0.1923

model potential parameters from [1]

getPressure(temperature)[source]

Pressure of atomic vapour at given temperature.

Uses equation and values from [3]. Values from table 3. (accuracy +-1 %) are used both for liquid and solid phase of Li.

mass = 9.988346384925222e-27

source NIST, Atomic Weights and Isotopic Compositions [14]

quantumDefect = [[[0.3995101, 0.029, 0.0, 0.0, 0.0, 0.0], [0.0471835, -0.024, 0.0, 0.0, 0.0, 0.0], [0.002129, -0.01491, 0.1759, -0.8507, 0.0, 0.0], [-7.7e-05, 0.021856, -0.4211, 2.3891, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]], [[0.3995101, 0.029, 0.0, 0.0, 0.0, 0.0], [0.047172, -0.024, 0.0, 0.0, 0.0, 0.0], [0.002129, -0.01491, 0.1759, -0.8507, 0.0, 0.0], [-7.7e-05, 0.021856, -0.4211, 2.3891, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]]

quantum defects for \(nS\) and \(nP\) are from Ref. [8] . Quantum defects for \(D_j\) and \(F_j\) are from Ref. [11] (note that this defects in Ref. [11] are for Li7, differences are expected not be too big).

rc = [0.61340824, 0.61566441, 2.34126273, 2.34126273]

model potential parameters from [1]

class arc.alkali_atom_data.Lithium7(preferQuantumDefects=True, cpp_numerov=True)[source]

Properties of lithium 7 atoms

a1 = [2.47718079, 3.45414648, 2.51909839, 2.51909839]

model potential parameters from [1]

a2 = [1.84150932, 2.5515108, 2.4371245, 2.4371245]

model potential parameters from [1]

a3 = [-0.02169712, -0.21646561, 0.32505524, 0.32505524]

model potential parameters from [1]

a4 = [-0.11988362, -0.06990078, 0.1060243, 0.1060243]

model potential parameters from [1]

abundance = 0.9241

source NIST, Atomic Weights and Isotopic Compositions [14]

alphaC = 0.1923

model potential parameters from [1]

getPressure(temperature)[source]

Pressure of atomic vapour at given temperature (in K).

Uses equation and values from [3]. Values from table 3. (accuracy +-1 %) are used for both liquid and solid phase of Li.

ionisationEnergy = 5.391719

(eV) NIST Ref. [13].

mass = 1.1650347611248465e-26

source NIST, Atomic Weights and Isotopic Compositions [14]

quantumDefect = [[[0.3995101, 0.029, 0.0, 0.0, 0.0, 0.0], [0.047178, -0.024, 0.0, 0.0, 0.0, 0.0], [0.002129, -0.01491, 0.1759, -0.8507, 0.0, 0.0], [-7.7e-05, 0.021856, -0.4211, 2.3891, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]], [[0.3995101, 0.029, 0.0, 0.0, 0.0, 0.0], [0.0471665, -0.024, 0.0, 0.0, 0.0, 0.0], [0.002129, -0.01491, 0.1759, -0.8507, 0.0, 0.0], [-7.7e-05, 0.021856, -0.4211, 2.3891, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]]

quantum defects for \(nS\) and \(nP\) states are from Ref. [8]. Quantum defects for \(D_j\) and \(F_j\) states are from [11].

rc = [0.61340824, 0.61566441, 2.34126273, 2.34126273]

model potential parameters from [1]

class arc.alkali_atom_data.Potassium(preferQuantumDefects=True, cpp_numerov=True)[source]

backward compatibility: before only one class for Potassium existed and it corresponded to Potassium 39

class arc.alkali_atom_data.Potassium39(preferQuantumDefects=True, cpp_numerov=True)[source]

Properties of potassium 39 atoms

a1 = [3.56079437, 3.65670429, 4.12713694, 1.42310446]

model potential parameters from [1]

a2 = [1.83909642, 1.67520788, 1.79837462, 1.27861156]

model potential parameters from [1]

a3 = [-1.74701102, -2.07416615, -1.69935174, 4.77441476]

model potential parameters from [1]

a4 = [-1.03237313, -0.89030421, -0.98913582, -0.94829262]

model potential parameters from [1]

abundance = 0.932581

source NIST, Atomic Weights and Isotopic Compositions [14]

alphaC = 5.331

model potential parameters from [1]

extraLevels = [[3, 2, 2.5], [3, 2, 1.5]]

levels that are for smaller n than ground level, but are above in energy due to angular part

getPressure(temperature)[source]

Pressure of atomic vapour at given temperature.

Uses equation and values from [3]. Values from table 2. (accuracy +- 5%) are used for Na in solid phase. Values from table 3. (accuracy +-1 %) are used for Na in liquid phase.

ionisationEnergy = 4.340663681814173

(eV), weighted average of values in Ref. [11].

mass = 6.470075576376843e-26

source NIST, Atomic Weights and Isotopic Compositions [14]

quantumDefect = [[[2.1801985, 0.13558, 0.0759, 0.117, -0.206, 0.0], [1.713892, 0.233294, 0.16137, 0.5345, -0.234, 0.0], [0.27697, -1.024911, -0.709174, 11.839, -26.689, 0.0], [0.010098, -0.100224, 1.56334, -12.6851, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]], [[2.1801985, 0.13558, 0.0759, 0.117, -0.206, 0.0], [1.710848, 0.235437, 0.11551, 1.1015, -2.0356, 0.0], [0.277158, -1.025635, -0.59201, 10.0053, -19.0244, 0.0], [0.010098, -0.100224, 1.56334, -12.6851, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]]

quantum defects from Ref. [11].

rc = [0.83167545, 0.85235381, 0.83216907, 6.50294371]

model potential parameters from [1]

class arc.alkali_atom_data.Potassium40(preferQuantumDefects=True, cpp_numerov=True)[source]

Properties of potassium 40 atoms

a1 = [3.56079437, 3.65670429, 4.12713694, 1.42310446]

model potential parameters from [1]

a2 = [1.83909642, 1.67520788, 1.79837462, 1.27861156]

model potential parameters from [1]

a3 = [-1.74701102, -2.07416615, -1.69935174, 4.77441476]

model potential parameters from [1]

a4 = [-1.03237313, -0.89030421, -0.98913582, -0.94829262]

model potential parameters from [1]

abundance = 0.000117

source NIST, Atomic Weights and Isotopic Compositions [14]

alphaC = 5.331

model potential parameters from [1]

extraLevels = [[3, 2, 2.5], [3, 2, 1.5]]

levels that are for smaller n than ground level, but are above in energy due to angular part

getPressure(temperature)[source]

Pressure of atomic vapour at given temperature.

Uses equation and values from [3]. Values from table 2. (accuracy +- 5%) are used for Na in solid phase. Values from table 3. (accuracy +-1 %) are used for Na in liquid phase.

ionisationEnergy = 4.340663681814173

(eV), weighted average of values in Ref. [11].

mass = 6.63617791491314e-26

source NIST, Atomic Weights and Isotopic Compositions [14]

quantumDefect = [[[2.1801985, 0.13558, 0.0759, 0.117, -0.206, 0.0], [1.713892, 0.233294, 0.16137, 0.5345, -0.234, 0.0], [0.27697, -1.024911, -0.709174, 11.839, -26.689, 0.0], [0.010098, -0.100224, 1.56334, -12.6851, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]], [[2.1801985, 0.13558, 0.0759, 0.117, -0.206, 0.0], [1.710848, 0.235437, 0.11551, 1.1015, -2.0356, 0.0], [0.277158, -1.025635, -0.59201, 10.0053, -19.0244, 0.0], [0.010098, -0.100224, 1.56334, -12.6851, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]]

quantum defects from Ref. [11].

rc = [0.83167545, 0.85235381, 0.83216907, 6.50294371]

model potential parameters from [1]

scaledRydbergConstant = 13.6055062456062

in eV

class arc.alkali_atom_data.Potassium41(preferQuantumDefects=True, cpp_numerov=True)[source]

Properties of potassium 41 atoms

a1 = [3.56079437, 3.65670429, 4.12713694, 1.42310446]

model potential parameters from [1]

a2 = [1.83909642, 1.67520788, 1.79837462, 1.27861156]

model potential parameters from [1]

a3 = [-1.74701102, -2.07416615, -1.69935174, 4.77441476]

model potential parameters from [1]

a4 = [-1.03237313, -0.89030421, -0.98913582, -0.94829262]

model potential parameters from [1]

abundance = 0.067302

source NIST, Atomic Weights and Isotopic Compositions [14]

alphaC = 5.331

model potential parameters from [1]

extraLevels = [[3, 2, 2.5], [3, 2, 1.5]]

levels that are for smaller n than ground level, but are above in energy due to angular part

getPressure(temperature)[source]

Pressure of atomic vapour at given temperature.

Uses equation and values from [3]. Values from table 2. (accuracy +- 5%) are used for Na in solid phase. Values from table 3. (accuracy +-1 %) are used for Na in liquid phase.

ionisationEnergy = 4.340663681814173

(eV), weighted average of values in Ref. [11].

mass = 6.801870999040102e-26

source NIST, Atomic Weights and Isotopic Compositions [14]

quantumDefect = [[[2.1801985, 0.13558, 0.0759, 0.117, -0.206, 0.0], [1.713892, 0.233294, 0.16137, 0.5345, -0.234, 0.0], [0.27697, -1.024911, -0.709174, 11.839, -26.689, 0.0], [0.010098, -0.100224, 1.56334, -12.6851, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]], [[2.1801985, 0.13558, 0.0759, 0.117, -0.206, 0.0], [1.710848, 0.235437, 0.11551, 1.1015, -2.0356, 0.0], [0.277158, -1.025635, -0.59201, 10.0053, -19.0244, 0.0], [0.010098, -0.100224, 1.56334, -12.6851, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]]

quantum defects from Ref. [11].

rc = [0.83167545, 0.85235381, 0.83216907, 6.50294371]

model potential parameters from [1]

scaledRydbergConstant = 13.605510795147651

in eV

class arc.alkali_atom_data.Rubidium(preferQuantumDefects=True, cpp_numerov=True)[source]

backward compatibility: before there was only one Rubidium class, and that one corresponded to Rubidium85

class arc.alkali_atom_data.Rubidium85(preferQuantumDefects=True, cpp_numerov=True)[source]

Properites of rubidium 85 atoms

a1 = [3.69628474, 4.44088978, 3.78717363, 2.39848933]

model potential parameters from [1]

a2 = [1.64915255, 1.92828831, 1.57027864, 1.76810544]

model potential parameters from [1]

a3 = [-9.86069196, -16.7959777, -11.6558897, -12.0710678]

model potential parameters from [1]

a4 = [0.19579987, -0.8163314, 0.52942835, 0.77256589]

model potential parameters from [1]

abundance = 0.7217

source NIST, Atomic Weights and Isotopic Compositions [14]

alphaC = 9.076

model potential parameters from [1]

extraLevels = [[4, 2, 2.5], [4, 2, 1.5], [4, 3, 3.5], [4, 3, 2.5]]

levels that are for smaller n than ground level, but are above in energy due to angular part

getPressure(temperature)[source]

Pressure of atomic vapour at given temperature.

Uses equation and values from [3]. Values from table 2. (accuracy +- 5%) are used for Rb in solid phase. Values from table 3. (accuracy +-1 %) are used for Rb in liquid phase.

ionisationEnergy = 4.177126489738963

(eV) Ref. [15]

mass = 1.409993418160543e-25

source NIST, Atomic Weights and Isotopic Compositions [14]

quantumDefect = [[[3.1311804, 0.1784, 0.0, 0.0, 0.0, 0.0], [2.6548849, 0.29, 0.0, 0.0, 0.0, 0.0], [1.34809171, -0.60286, 0.0, 0.0, 0.0, 0.0], [0.0165192, -0.085, 0.0, 0.0, 0.0, 0.0], [0.00405, 0.0, 0.0, 0.0, 0.0, 0.0]], [[3.1311804, 0.1784, 0.0, 0.0, 0.0, 0.0], [2.6416737, 0.295, 0.0, 0.0, 0.0, 0.0], [1.34646572, -0.596, 0.0, 0.0, 0.0, 0.0], [0.0165437, -0.086, 0.0, 0.0, 0.0, 0.0], [0.00405, 0.0, 0.0, 0.0, 0.0, 0.0]]]

quantum defects for \(nF\) states are from [5]. Quantum defects for \(nG\) states are from [7]. All other quantum defects are from from [4]

rc = [1.66242117, 1.50195124, 4.86851938, 4.79831327]

model potential parameters from [1]

scaledRydbergConstant = 13.605605108199638

in eV

class arc.alkali_atom_data.Rubidium87(preferQuantumDefects=True, cpp_numerov=True)[source]

Properites of rubidium 87 atoms

a1 = [3.69628474, 4.44088978, 3.78717363, 2.39848933]

model potential parameters from [1]

a2 = [1.64915255, 1.92828831, 1.57027864, 1.76810544]

model potential parameters from [1]

a3 = [-9.86069196, -16.7959777, -11.6558897, -12.0710678]

model potential parameters from [1]

a4 = [0.19579987, -0.8163314, 0.52942835, 0.77256589]

model potential parameters from [1]

abundance = 0.2783

source NIST, Atomic Weights and Isotopic Compositions [14]

alphaC = 9.076

model potential parameters from [1]

extraLevels = [[4, 2, 2.5], [4, 2, 1.5], [4, 3, 3.5], [4, 3, 2.5]]

levels that are for smaller n than ground level, but are above in energy due to angular part

getPressure(temperature)[source]

Pressure of atomic vapour at given temperature.

Uses equation and values from [3]. Values from table 2. (accuracy +- 5%) are used for Rb in solid phase. Values from table 3. (accuracy +-1 %) are used for Rb in liquid phase.

ionisationEnergy = 4.177127287605897

(eV) Ref. [6]

mass = 1.4431608720613343e-25

source NIST, Atomic Weights and Isotopic Compositions [14]

quantumDefect = [[[3.1311804, 0.1784, 0.0, 0.0, 0.0, 0.0], [2.6548849, 0.29, 0.0, 0.0, 0.0, 0.0], [1.34809171, -0.60286, 0.0, 0.0, 0.0, 0.0], [0.0165192, -0.085, 0.0, 0.0, 0.0, 0.0], [0.00405, 0.0, 0.0, 0.0, 0.0, 0.0]], [[3.1311804, 0.1784, 0.0, 0.0, 0.0, 0.0], [2.6416737, 0.295, 0.0, 0.0, 0.0, 0.0], [1.34646572, -0.596, 0.0, 0.0, 0.0, 0.0], [0.0165437, -0.086, 0.0, 0.0, 0.0, 0.0], [0.00405, 0.0, 0.0, 0.0, 0.0, 0.0]]]

quantum defects for \(nF\) states are from [5]. Quantum defects for \(nG\) states are from [7]. All other quantum defects are from from [4]

rc = [1.66242117, 1.50195124, 4.86851938, 4.79831327]

model potential parameters from [1]

scaledRydbergConstant = 13.60560712837914

in eV (M_ion core = m_atomic - m_electron)

class arc.alkali_atom_data.Sodium(preferQuantumDefects=True, cpp_numerov=True)[source]

Properties of sodium 23 atoms

a1 = [4.82223117, 5.08382502, 3.53324124, 1.11056646]

model potential parameters from [1]

a2 = [2.45449865, 2.18226881, 2.48697936, 1.05458759]

model potential parameters from [1]

a3 = [-1.12255048, -1.19534623, -0.75688448, 1.73203428]

model potential parameters from [1]

a4 = [-1.42631393, -1.03142861, -1.27852357, -0.09265696]

model potential parameters from [1]

abundance = 1.0

source NIST, Atomic Weights and Isotopic Compositions [14]

alphaC = 0.9448

model potential parameters from [1]

getPressure(temperature)[source]

Pressure of atomic vapour at given temperature.

Uses equation and values from [3]. Values from table 2. (accuracy +- 5%) are used for Na in solid phase. Values from table 3. (accuracy +-1 %) are used for Na in liquid phase.

ionisationEnergy = 5.139075550664961

(eV) from Ref. [11]

mass = 3.8175409413353766e-26

source NIST, Atomic Weights and Isotopic Compositions [14]

quantumDefect = [[[1.347964, 0.060673, 0.0233, -0.0085, 0.0, 0.0], [0.85538, 0.11363, 0.0384, 0.1412, 0.0, 0.0], [0.015543, -0.08535, 0.7958, -4.0513, 0.0, 0.0], [0.001453, 0.017312, -0.7809, 7.021, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]], [[1.347964, 0.060673, 0.0233, -0.0085, 0.0, 0.0], [0.854565, 0.114195, 0.0352, 0.1533, 0.0, 0.0], [0.015543, -0.08535, 0.7958, -4.0513, 0.0, 0.0], [0.001453, 0.017312, -0.7809, 7.021, 0.0, 0.0], [0.0, 0.0, 0.0, 0.0, 0.0, 0.0]]]

Quantum defects are from Ref. [11]. Note that we are using modified Rydberg-Ritz formula. In literature both modified and non-modified coefficients appear. For more details about the two equations see page 301. of Ref. [11].

rc = [0.45489422, 0.45798739, 0.71875312, 28.6735059]

model potential parameters from [1]

scaledRydbergConstant = 13.605368351064202

(eV)