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|
# This program is in the public domain
# Author: Paul Kienzle
"""
Adds magnetic_ff[charge].t for t in j0, j2, j4, j6, and J.
J should be the dipole approximation <j0> + (1 - 2/g) <j2>, according to the
documentation for CrysFML [#Brown]_ , but that does not seem to be the case in practice.
.. [#Brown] Brown. P. J. (Section 4.4.5) International Tables for Crystallography
Volume C, Wilson. A. J. C.(ed).
"""
from __future__ import division
import numpy
from numpy import pi, exp
def formfactor_0(j0, q):
"""
Returns the scattering potential for form factor *j0* at the given *q*.
"""
q = numpy.asarray(q)
s_sq = (q/(4*pi))**2
A, a, B, b, C, c, D = j0
return A * exp(-a*s_sq) + B * exp(-b*s_sq) + C * exp(-c*s_sq) + D
def formfactor_n(jn, q):
"""
Returns the scattering potential for form factor *jn* at the given *q*.
"""
q = numpy.asarray(q)
s_sq = (q/(4*pi))**2
A, a, B, b, C, c, D = jn
return s_sq * (A * exp(-a*s_sq) + B * exp(-b*s_sq) + C * exp(-c*s_sq) + D)
class MagneticFormFactor:
"""
Magnetic form factor for the ion.
The available form factors are::
M = <j0> form factor coefficients
J = <j0> + C2 <j2> form factor coeffients
jn = <jn> form factor coefficients for n = 0, 2, 4, 6
Not all form factors are available for all ions. Use the
expression ``hasattr(ion.magnetic_ff, '<ff>')`` to test for the
particular form factor <ff>.
The form factor coefficients are a tuple (A, a, B, b, C, c, D). The
following expression computes the M/j0 and J form factors from the
corresponding coefficients::
s = q^2 / 16 pi^2
ff = A exp(-a s^2) + B exp(-b s^2) + C exp(-c s^2) + D
The remaining form factors *j2*, *j4* and *j6* are scalled by an additional s^2.
The form factor calculation is performed by the <ff>_Q method for <ff>
in *M*, *J*, *j0*, *j2*, *j4*, *j6*. For example, here is the calculation for
the *M* form factor for Fe^2+ computed at 0, 0.1 and 0.2:
.. doctest::
>>> import periodictable
>>> ion = periodictable.Fe.ion[2]
>>> print("[%.5f, %.5f, %.5f]"
... % tuple(ion.magnetic_ff[ion.charge].M_Q([0, 0.1, 0.2])))
[1.00000, 0.99935, 0.99741]
"""
def _getM(self):
return self.j0
M = property(_getM, doc="j0")
def j0_Q(self, Q):
"""Returns *j0* scattering potential at *Q* |1/Ang|"""
return formfactor_0(self.j0, Q)
def j2_Q(self, Q):
"""Returns *j2* scattering potential at *Q* |1/Ang|"""
return formfactor_n(self.j2, Q)
def j4_Q(self, Q):
"""Returns *j4* scattering potential at *Q* |1/Ang|"""
return formfactor_n(self.j4, Q)
def j6_Q(self, Q):
"""Returns j6 scattering potential at *Q* |1/Ang|"""
return formfactor_n(self.j6, Q)
def J_Q(self, Q):
"""Returns J scattering potential at *Q* |1/Ang|"""
return formfactor_0(self.J, Q)
M_Q = j0_Q
def init(table, reload=False):
"""Add magnetic form factor properties to the periodic table"""
if 'magnetic_ff' not in table.properties:
# First call to init
table.properties.append('magnetic_ff')
elif not reload:
# Repeat call to init, but reload is False
return
# Function for interpreting ionization state and form factor tuple
def add_form_factor(jn, symbol, charge, values):
# Add the magnetic form factor info to the element
el = table.symbol(symbol.capitalize())
if not hasattr(el, 'magnetic_ff'):
el.magnetic_ff = {}
if charge not in el.magnetic_ff:
el.magnetic_ff[charge] = MagneticFormFactor()
setattr(el.magnetic_ff[charge], jn, values)
# Transformed from fortran with:
# Magnetic_{ff}({index}) &
# = Magnetic_Form_Type("{el}{charge}", (/{vector}/) )
# turning into:
# add_form_factor("{ff}", "{el}", {charge}, ({vector}) )
# where {ff} was one of j2, j4, j6. For Magnetic_Form, the first parameter
# was "M{el}{charge}" or "J{el}{charge}", turning into ff="j0" and ff="J"
# respectively.
# !---- Form coefficients ----!
add_form_factor("j0", "SC", 0, ( 0.251200, 90.029602, 0.329000, 39.402100, 0.423500, 14.322200, -0.004300) )
add_form_factor("j0", "SC", 1, ( 0.488900, 51.160301, 0.520300, 14.076400, -0.028600, 0.179200, 0.018500) )
add_form_factor("j0", "SC", 2, ( 0.504800, 31.403500, 0.518600, 10.989700, -0.024100, 1.183100, 0.000000) )
add_form_factor("j0", "TI", 0, ( 0.465700, 33.589802, 0.549000, 9.879100, -0.029100, 0.323200, 0.012300) )
add_form_factor("j0", "TI", 1, ( 0.509300, 36.703300, 0.503200, 10.371300, -0.026300, 0.310600, 0.011600) )
add_form_factor("j0", "TI", 2, ( 0.509100, 24.976299, 0.516200, 8.756900, -0.028100, 0.916000, 0.001500) )
add_form_factor("j0", "TI", 3, ( 0.357100, 22.841299, 0.668800, 8.930600, -0.035400, 0.483300, 0.009900) )
add_form_factor("j0", "V", 0, ( 0.408600, 28.810900, 0.607700, 8.543700, -0.029500, 0.276800, 0.012300) )
add_form_factor("j0", "V", 1, ( 0.444400, 32.647900, 0.568300, 9.097100, -0.228500, 0.021800, 0.215000) )
add_form_factor("j0", "V", 2, ( 0.408500, 23.852600, 0.609100, 8.245600, -0.167600, 0.041500, 0.149600) )
add_form_factor("j0", "V", 3, ( 0.359800, 19.336399, 0.663200, 7.617200, -0.306400, 0.029600, 0.283500) )
add_form_factor("j0", "V", 4, ( 0.310600, 16.816000, 0.719800, 7.048700, -0.052100, 0.302000, 0.022100) )
add_form_factor("j0", "CR", 0, ( 0.113500, 45.199001, 0.348100, 19.493099, 0.547700, 7.354200, -0.009200) )
add_form_factor("j0", "CR", 1, ( -0.097700, 0.047000, 0.454400, 26.005400, 0.557900, 7.489200, 0.083100) )
add_form_factor("j0", "CR", 2, ( 1.202400, -0.005500, 0.415800, 20.547501, 0.603200, 6.956000, -1.221800) )
add_form_factor("j0", "CR", 3, ( -0.309400, 0.027400, 0.368000, 17.035500, 0.655900, 6.523600, 0.285600) )
add_form_factor("j0", "CR", 4, ( -0.232000, 0.043300, 0.310100, 14.951800, 0.718200, 6.172600, 0.204200) )
add_form_factor("j0", "MN", 0, ( 0.243800, 24.962900, 0.147200, 15.672800, 0.618900, 6.540300, -0.010500) )
add_form_factor("j0", "MN", 1, ( -0.013800, 0.421300, 0.423100, 24.667999, 0.590500, 6.654500, -0.001000) )
add_form_factor("j0", "MN", 2, ( 0.422000, 17.684000, 0.594800, 6.005000, 0.004300, -0.609000, -0.021900) )
add_form_factor("j0", "MN", 3, ( 0.419800, 14.282900, 0.605400, 5.468900, 0.924100, -0.008800, -0.949800) )
add_form_factor("j0", "MN", 4, ( 0.376000, 12.566100, 0.660200, 5.132900, -0.037200, 0.563000, 0.001100) )
add_form_factor("j0", "FE", 0, ( 0.070600, 35.008499, 0.358900, 15.358300, 0.581900, 5.560600, -0.011400) )
add_form_factor("j0", "FE", 1, ( 0.125100, 34.963299, 0.362900, 15.514400, 0.522300, 5.591400, -0.010500) )
add_form_factor("j0", "FE", 2, ( 0.026300, 34.959702, 0.366800, 15.943500, 0.618800, 5.593500, -0.011900) )
add_form_factor("j0", "FE", 3, ( 0.397200, 13.244200, 0.629500, 4.903400, -0.031400, 0.349600, 0.004400) )
add_form_factor("j0", "FE", 4, ( 0.378200, 11.380000, 0.655600, 4.592000, -0.034600, 0.483300, 0.000500) )
add_form_factor("j0", "CO", 0, ( 0.413900, 16.161600, 0.601300, 4.780500, -0.151800, 0.021000, 0.134500) )
add_form_factor("j0", "CO", 1, ( 0.099000, 33.125198, 0.364500, 15.176800, 0.547000, 5.008100, -0.010900) )
add_form_factor("j0", "CO", 2, ( 0.433200, 14.355300, 0.585700, 4.607700, -0.038200, 0.133800, 0.017900) )
add_form_factor("j0", "CO", 3, ( 0.390200, 12.507800, 0.632400, 4.457400, -0.150000, 0.034300, 0.127200) )
add_form_factor("j0", "CO", 4, ( 0.351500, 10.778500, 0.677800, 4.234300, -0.038900, 0.240900, 0.009800) )
add_form_factor("j0", "NI", 0, ( -0.017200, 35.739201, 0.317400, 14.268900, 0.713600, 4.566100, -0.014300) )
add_form_factor("j0", "NI", 1, ( 0.070500, 35.856098, 0.398400, 13.804200, 0.542700, 4.396500, -0.011800) )
add_form_factor("j0", "NI", 2, ( 0.016300, 35.882599, 0.391600, 13.223300, 0.605200, 4.338800, -0.013300) )
add_form_factor("j0", "NI", 3, ( -0.013400, 35.867699, 0.267800, 12.332600, 0.761400, 4.236900, -0.016200) )
add_form_factor("j0", "NI", 4, ( -0.009000, 35.861401, 0.277600, 11.790400, 0.747400, 4.201100, -0.016300) )
add_form_factor("j0", "CU", 0, ( 0.090900, 34.983799, 0.408800, 11.443200, 0.512800, 3.824800, -0.012400) )
add_form_factor("j0", "CU", 1, ( 0.074900, 34.965599, 0.414700, 11.764200, 0.523800, 3.849700, -0.012700) )
add_form_factor("j0", "CU", 2, ( 0.023200, 34.968601, 0.402300, 11.564000, 0.588200, 3.842800, -0.013700) )
add_form_factor("j0", "CU", 3, ( 0.003100, 34.907398, 0.358200, 10.913800, 0.653100, 3.827900, -0.014700) )
add_form_factor("j0", "CU", 4, ( -0.013200, 30.681700, 0.280100, 11.162600, 0.749000, 3.817200, -0.016500) )
add_form_factor("j0", "Y", 0, ( 0.591500, 67.608101, 1.512300, 17.900400, -1.113000, 14.135900, 0.008000) )
add_form_factor("j0", "ZR", 0, ( 0.410600, 59.996101, 1.054300, 18.647600, -0.475100, 10.540000, 0.010600) )
add_form_factor("j0", "ZR", 1, ( 0.453200, 59.594799, 0.783400, 21.435699, -0.245100, 9.036000, 0.009800) )
add_form_factor("j0", "NB", 0, ( 0.394600, 49.229698, 1.319700, 14.821600, -0.726900, 9.615600, 0.012900) )
add_form_factor("j0", "NB", 1, ( 0.457200, 49.918201, 1.027400, 15.725600, -0.496200, 9.157300, 0.011800) )
add_form_factor("j0", "MO", 0, ( 0.180600, 49.056801, 1.230600, 14.785900, -0.426800, 6.986600, 0.017100) )
add_form_factor("j0", "MO", 1, ( 0.350000, 48.035400, 1.030500, 15.060400, -0.392900, 7.479000, 0.013900) )
add_form_factor("j0", "TC", 0, ( 0.129800, 49.661098, 1.165600, 14.130700, -0.313400, 5.512900, 0.019500) )
add_form_factor("j0", "TC", 1, ( 0.267400, 48.956600, 0.956900, 15.141300, -0.238700, 5.457800, 0.016000) )
add_form_factor("j0", "RU", 0, ( 0.106900, 49.423801, 1.191200, 12.741700, -0.317600, 4.912500, 0.021300) )
add_form_factor("j0", "RU", 1, ( 0.441000, 33.308601, 1.477500, 9.553100, -0.936100, 6.722000, 0.017600) )
add_form_factor("j0", "RH", 0, ( 0.097600, 49.882500, 1.160100, 11.830700, -0.278900, 4.126600, 0.023400) )
add_form_factor("j0", "RH", 1, ( 0.334200, 29.756399, 1.220900, 9.438400, -0.575500, 5.332000, 0.021000) )
add_form_factor("j0", "PD", 0, ( 0.200300, 29.363300, 1.144600, 9.599300, -0.368900, 4.042300, 0.025100) )
add_form_factor("j0", "PD", 1, ( 0.503300, 24.503700, 1.998200, 6.908200, -1.524000, 5.513300, 0.021300) )
add_form_factor("j0", "CE", 2, ( 0.295300, 17.684601, 0.292300, 6.732900, 0.431300, 5.382700, -0.019400) )
add_form_factor("j0", "ND", 2, ( 0.164500, 25.045300, 0.252200, 11.978200, 0.601200, 4.946100, -0.018000) )
add_form_factor("j0", "ND", 3, ( 0.054000, 25.029301, 0.310100, 12.102000, 0.657500, 4.722300, -0.021600) )
add_form_factor("j0", "SM", 2, ( 0.090900, 25.203199, 0.303700, 11.856200, 0.625000, 4.236600, -0.020000) )
add_form_factor("j0", "SM", 3, ( 0.028800, 25.206800, 0.297300, 11.831100, 0.695400, 4.211700, -0.021300) )
add_form_factor("j0", "EU", 2, ( 0.075500, 25.296000, 0.300100, 11.599300, 0.643800, 4.025200, -0.019600) )
add_form_factor("j0", "EU", 3, ( 0.020400, 25.307800, 0.301000, 11.474400, 0.700500, 3.942000, -0.022000) )
add_form_factor("j0", "GD", 2, ( 0.063600, 25.382299, 0.303300, 11.212500, 0.652800, 3.787700, -0.019900) )
add_form_factor("j0", "GD", 3, ( 0.018600, 25.386700, 0.289500, 11.142100, 0.713500, 3.752000, -0.021700) )
add_form_factor("j0", "TB", 2, ( 0.054700, 25.508600, 0.317100, 10.591100, 0.649000, 3.517100, -0.021200) )
add_form_factor("j0", "TB", 3, ( 0.017700, 25.509501, 0.292100, 10.576900, 0.713300, 3.512200, -0.023100) )
add_form_factor("j0", "DY", 2, ( 0.130800, 18.315500, 0.311800, 7.664500, 0.579500, 3.146900, -0.022600) )
add_form_factor("j0", "DY", 3, ( 0.115700, 15.073200, 0.327000, 6.799100, 0.582100, 3.020200, -0.024900) )
add_form_factor("j0", "HO", 2, ( 0.099500, 18.176100, 0.330500, 7.855600, 0.592100, 2.979900, -0.023000) )
add_form_factor("j0", "HO", 3, ( 0.056600, 18.317600, 0.336500, 7.688000, 0.631700, 2.942700, -0.024800) )
add_form_factor("j0", "ER", 2, ( 0.112200, 18.122299, 0.346200, 6.910600, 0.564900, 2.761400, -0.023500) )
add_form_factor("j0", "ER", 3, ( 0.058600, 17.980200, 0.354000, 7.096400, 0.612600, 2.748200, -0.025100) )
add_form_factor("j0", "TM", 2, ( 0.098300, 18.323601, 0.338000, 6.917800, 0.587500, 2.662200, -0.024100) )
add_form_factor("j0", "TM", 3, ( 0.058100, 15.092200, 0.278700, 7.801500, 0.685400, 2.793100, -0.022400) )
add_form_factor("j0", "YB", 2, ( 0.085500, 18.512300, 0.294300, 7.373400, 0.641200, 2.677700, -0.021300) )
add_form_factor("j0", "YB", 3, ( 0.041600, 16.094900, 0.284900, 7.834100, 0.696100, 2.672500, -0.022900) )
add_form_factor("j0", "U", 3, ( 0.505800, 23.288200, 1.346400, 7.002800, -0.872400, 4.868300, 0.019200) )
add_form_factor("j0", "U", 4, ( 0.329100, 23.547501, 1.083600, 8.454000, -0.434000, 4.119600, 0.021400) )
add_form_factor("j0", "U", 5, ( 0.365000, 19.803801, 3.219900, 6.281800, -2.607700, 5.301000, 0.023300) )
add_form_factor("j0", "NP", 3, ( 0.515700, 20.865400, 2.278400, 5.893000, -1.816300, 4.845700, 0.021100) )
add_form_factor("j0", "NP", 4, ( 0.420600, 19.804600, 2.800400, 5.978300, -2.243600, 4.984800, 0.022800) )
add_form_factor("j0", "NP", 5, ( 0.369200, 18.190001, 3.151000, 5.850000, -2.544600, 4.916400, 0.024800) )
add_form_factor("j0", "NP", 6, ( 0.292900, 17.561100, 3.486600, 5.784700, -2.806600, 4.870700, 0.026700) )
add_form_factor("j0", "PU", 3, ( 0.384000, 16.679300, 3.104900, 5.421000, -2.514800, 4.551200, 0.026300) )
add_form_factor("j0", "PU", 4, ( 0.493400, 16.835501, 1.639400, 5.638400, -1.158100, 4.139900, 0.024800) )
add_form_factor("j0", "PU", 5, ( 0.388800, 16.559200, 2.036200, 5.656700, -1.451500, 4.255200, 0.026700) )
add_form_factor("j0", "PU", 6, ( 0.317200, 16.050699, 3.465400, 5.350700, -2.810200, 4.513300, 0.028100) )
add_form_factor("j0", "AM", 2, ( 0.474300, 21.776100, 1.580000, 5.690200, -1.077900, 4.145100, 0.021800) )
add_form_factor("j0", "AM", 3, ( 0.423900, 19.573900, 1.457300, 5.872200, -0.905200, 3.968200, 0.023800) )
add_form_factor("j0", "AM", 4, ( 0.373700, 17.862499, 1.352100, 6.042600, -0.751400, 3.719900, 0.025800) )
add_form_factor("j0", "AM", 5, ( 0.295600, 17.372499, 1.452500, 6.073400, -0.775500, 3.661900, 0.027700) )
add_form_factor("j0", "AM", 6, ( 0.230200, 16.953300, 1.486400, 6.115900, -0.745700, 3.542600, 0.029400) )
add_form_factor("j0", "AM", 7, ( 0.360100, 12.729900, 1.964000, 5.120300, -1.356000, 3.714200, 0.031600) )
add_form_factor("j0", "PR", 3, ( 0.050400, 24.998900, 0.257200, 12.037700, 0.714200, 5.003900, -0.021900) )
add_form_factor("j0", "O", 1, ( 0.115285, 85.197300, 0.556229, 25.252200, 0.332476, 6.362070, -0.00460676) )
add_form_factor("J", "CE", 2, ( 0.031972, 8.926222, 0.265792, 7.678510, 0.682151, 2.329783, 0.020578) )
add_form_factor("J", "CE", 3, ( 0.051183, 6.115375, 0.277738, 7.952485, 0.654079, 2.287000, 0.016355) )
add_form_factor("J", "PR", 3, ( 0.023288, 0.582954, 0.349391, 5.601756, 0.615363, 1.932779, 0.011454) )
add_form_factor("J", "ND", 2, ( 0.089354, 2.282004, 0.206157, 1.708607, 0.669916, 2.297662, 0.048390) )
add_form_factor("J", "ND", 3, ( 0.073287, 4.412361, 0.371485, 4.019648, 0.539459, 1.557985, 0.017335) )
add_form_factor("J", "GD", 3, ( 0.060537, 10.775218, 0.271475, 13.097898, 0.665241, 3.162837, 0.001566) )
add_form_factor("J", "TB", 2, ( 0.049801, 18.734161, 0.277437, 10.084129, 0.661194, 2.745624, 0.010774) )
add_form_factor("J", "TB", 3, ( 0.049792, 15.112189, 0.270644, 9.158312, 0.679388, 2.880260, -0.000131) )
add_form_factor("J", "DY", 2, ( 0.175586, 5.938148, 0.228867, 11.464046, 0.583298, 2.167554, 0.011186) )
add_form_factor("J", "DY", 3, ( 0.146536, 12.639305, 0.375822, 5.511785, 0.515731, 2.090789, 0.093576) )
add_form_factor("J", "HO", 2, ( 0.023234, 0.703240, 0.270745, 9.993475, 0.677581, 2.521403, 0.027101) )
add_form_factor("J", "HO", 2, ( 0.023234, 0.703240, 0.270745, 9.993475, 0.677581, 2.521403, 0.027101) )
add_form_factor("J", "HO", 3, ( 0.043204, 0.910121, 0.279392, 8.683387, 0.668537, 2.417518, 0.008207) )
add_form_factor("J", "ER", 2, ( 0.037734, 6.081446, 0.256447, 9.598846, 0.679204, 2.139296, 0.025543) )
add_form_factor("J", "ER", 3, ( 0.038871, 5.311772, 0.259781, 8.173226, 0.678414, 2.082836, 0.022169) )
add_form_factor("J", "TM", 2, ( 0.037670, 4.455198, 0.254184, 9.151058, 0.677308, 2.021746, 0.029718) )
add_form_factor("J", "TM", 3, ( 0.028279, 2.291633, 0.265583, 7.776700, 0.675720, 2.018924, 0.029883) )
add_form_factor("J", "YB", 3, ( 0.092380, 2.046342, 0.258408, 7.471918, 0.609716, 1.913869, 0.038824) )
add_form_factor("J", "O", 1, ( 0.115285, 85.197300, 0.556229, 25.252200, 0.332476, 6.362070,-0.00460676) )
# !---- <j2> Coefficients ----!
add_form_factor("j2", "SC", 0,(10.8172,54.327, 4.7353,14.847, 0.6071, 4.218, 0.0011))
add_form_factor("j2", "SC", 1,( 8.5021,34.285, 3.2116,10.994, 0.4244, 3.605, 0.0009))
add_form_factor("j2", "SC", 2,( 4.3683,28.654, 3.7231,10.823, 0.6074, 3.668, 0.0014))
add_form_factor("j2", "TI", 0,( 4.3583,36.056, 3.8230,11.133, 0.6855, 3.469, 0.0020))
add_form_factor("j2", "TI", 1,( 6.1567,27.275, 2.6833, 8.983, 0.4070, 3.052, 0.0011))
add_form_factor("j2", "TI", 2,( 4.3107,18.348, 2.0960, 6.797, 0.2984, 2.548, 0.0007))
add_form_factor("j2", "TI", 3,( 3.3717,14.444, 1.8258, 5.713, 0.2470, 2.265, 0.0005))
add_form_factor("j2", "V", 0,( 3.8099,21.347, 2.3295, 7.409, 0.4333, 2.632, 0.0015))
add_form_factor("j2", "V", 1,( 4.7474,23.323, 2.3609, 7.808, 0.4105, 2.706, 0.0014))
add_form_factor("j2", "V", 2,( 3.4386,16.530, 1.9638, 6.141, 0.2997, 2.267, 0.0009))
add_form_factor("j2", "V", 3,( 2.3005,14.682, 2.0364, 6.130, 0.4099, 2.382, 0.0014))
add_form_factor("j2", "V", 4,( 1.8377,12.267, 1.8247, 5.458, 0.3979, 2.248, 0.0012))
add_form_factor("j2", "CR", 0,( 3.4085,20.127, 2.1006, 6.802, 0.4266, 2.394, 0.0019))
add_form_factor("j2", "CR", 1,( 3.7768,20.346, 2.1028, 6.893, 0.4010, 2.411, 0.0017))
add_form_factor("j2", "CR", 2,( 2.6422,16.060, 1.9198, 6.253, 0.4446, 2.372, 0.0020))
add_form_factor("j2", "CR", 3,( 1.6262,15.066, 2.0618, 6.284, 0.5281, 2.368, 0.0023))
add_form_factor("j2", "CR", 4,( 1.0293,13.950, 1.9933, 6.059, 0.5974, 2.346, 0.0027))
add_form_factor("j2", "MN", 0,( 2.6681,16.060, 1.7561, 5.640, 0.3675, 2.049, 0.0017))
add_form_factor("j2", "MN", 1,( 3.2953,18.695, 1.8792, 6.240, 0.3927, 2.201, 0.0022))
add_form_factor("j2", "MN", 2,( 2.0515,15.556, 1.8841, 6.063, 0.4787, 2.232, 0.0027))
add_form_factor("j2", "MN", 3,( 1.2427,14.997, 1.9567, 6.118, 0.5732, 2.258, 0.0031))
add_form_factor("j2", "MN", 4,( 0.7879,13.886, 1.8717, 5.743, 0.5981, 2.182, 0.0034))
add_form_factor("j2", "FE", 0,( 1.9405,18.473, 1.9566, 6.323, 0.5166, 2.161, 0.0036))
add_form_factor("j2", "FE", 1,( 2.6290,18.660, 1.8704, 6.331, 0.4690, 2.163, 0.0031))
add_form_factor("j2", "FE", 2,( 1.6490,16.559, 1.9064, 6.133, 0.5206, 2.137, 0.0035))
add_form_factor("j2", "FE", 3,( 1.3602,11.998, 1.5188, 5.003, 0.4705, 1.991, 0.0038))
add_form_factor("j2", "FE", 4,( 1.5582, 8.275, 1.1863, 3.279, 0.1366, 1.107,-0.0022))
add_form_factor("j2", "CO", 0,( 1.9678,14.170, 1.4911, 4.948, 0.3844, 1.797, 0.0027))
add_form_factor("j2", "CO", 1,( 2.4097,16.161, 1.5780, 5.460, 0.4095, 1.914, 0.0031))
add_form_factor("j2", "CO", 2,( 1.9049,11.644, 1.3159, 4.357, 0.3146, 1.645, 0.0017))
add_form_factor("j2", "CO", 3,( 1.7058, 8.859, 1.1409, 3.309, 0.1474, 1.090,-0.0025))
add_form_factor("j2", "CO", 4,( 1.3110, 8.025, 1.1551, 3.179, 0.1608, 1.130,-0.0011))
add_form_factor("j2", "NI", 0,( 1.0302,12.252, 1.4669, 4.745, 0.4521, 1.744, 0.0036))
add_form_factor("j2", "NI", 1,( 2.1040,14.866, 1.4302, 5.071, 0.4031, 1.778, 0.0034))
add_form_factor("j2", "NI", 2,( 1.7080,11.016, 1.2147, 4.103, 0.3150, 1.533, 0.0018))
add_form_factor("j2", "NI", 3,( 1.1612, 7.700, 1.0027, 3.263, 0.2719, 1.378, 0.0025))
add_form_factor("j2", "NI", 4,( 1.1612, 7.700, 1.0027, 3.263, 0.2719, 1.378, 0.0025))
add_form_factor("j2", "CU", 0,( 1.9182,14.490, 1.3329, 4.730, 0.3842, 1.639, 0.0035))
add_form_factor("j2", "CU", 1,( 1.8814,13.433, 1.2809, 4.545, 0.3646, 1.602, 0.0033))
add_form_factor("j2", "CU", 2,( 1.5189,10.478, 1.1512, 3.813, 0.2918, 1.398, 0.0017))
add_form_factor("j2", "CU", 3,( 1.2797, 8.450, 1.0315, 3.280, 0.2401, 1.250, 0.0015))
add_form_factor("j2", "CU", 4,( 0.9568, 7.448, 0.9099, 3.396, 0.3729, 1.494, 0.0049))
add_form_factor("j2", "Y", 0,(14.4084,44.658, 5.1045,14.904,-0.0535, 3.319, 0.0028))
add_form_factor("j2", "ZR", 0,(10.1378,35.337, 4.7734,12.545,-0.0489, 2.672, 0.0036))
add_form_factor("j2", "ZR", 1,(11.8722,34.920, 4.0502,12.127,-0.0632, 2.828, 0.0034))
add_form_factor("j2", "NB", 0,( 7.4796,33.179, 5.0884,11.571,-0.0281, 1.564, 0.0047))
add_form_factor("j2", "NB", 1,( 8.7735,33.285, 4.6556,11.605,-0.0268, 1.539, 0.0044))
add_form_factor("j2", "MO", 0,( 5.1180,23.422, 4.1809, 9.208,-0.0505, 1.743, 0.0053))
add_form_factor("j2", "MO", 1,( 7.2367,28.128, 4.0705, 9.923,-0.0317, 1.455, 0.0049))
add_form_factor("j2", "TC", 0,( 4.2441,21.397, 3.9439, 8.375,-0.0371, 1.187, 0.0066))
add_form_factor("j2", "TC", 1,( 6.4056,24.824, 3.5400, 8.611,-0.0366, 1.485, 0.0044))
add_form_factor("j2", "RU", 0,( 3.7445,18.613, 3.4749, 7.420,-0.0363, 1.007, 0.0073))
add_form_factor("j2", "RU", 1,( 5.2826,23.683, 3.5813, 8.152,-0.0257, 0.426, 0.0131))
add_form_factor("j2", "RH", 0,( 3.3651,17.344, 3.2121, 6.804,-0.0350, 0.503, 0.0146))
add_form_factor("j2", "RH", 1,( 4.0260,18.950, 3.1663, 7.000,-0.0296, 0.486, 0.0127))
add_form_factor("j2", "PD", 0,( 3.3105,14.726, 2.6332, 5.862,-0.0437, 1.130, 0.0053))
add_form_factor("j2", "PD", 1,( 4.2749,17.900, 2.7021, 6.354,-0.0258, 0.700, 0.0071))
add_form_factor("j2", "CE", 2,( 0.9809,18.063, 1.8413, 7.769, 0.9905, 2.845, 0.0120))
add_form_factor("j2", "ND", 2,( 1.4530,18.340, 1.6196, 7.285, 0.8752, 2.622, 0.0126))
add_form_factor("j2", "ND", 3,( 0.6751,18.342, 1.6272, 7.260, 0.9644, 2.602, 0.0150))
add_form_factor("j2", "SM", 2,( 1.0360,18.425, 1.4769, 7.032, 0.8810, 2.437, 0.0152))
add_form_factor("j2", "SM", 3,( 0.4707,18.430, 1.4261, 7.034, 0.9574, 2.439, 0.0182))
add_form_factor("j2", "EU", 2,( 0.8970,18.443, 1.3769, 7.005, 0.9060, 2.421, 0.0190))
add_form_factor("j2", "EU", 3,( 0.3985,18.451, 1.3307, 6.956, 0.9603, 2.378, 0.0197))
add_form_factor("j2", "GD", 2,( 0.7756,18.469, 1.3124, 6.899, 0.8956, 2.338, 0.0199))
add_form_factor("j2", "GD", 3,( 0.3347,18.476, 1.2465, 6.877, 0.9537, 2.318, 0.0217))
add_form_factor("j2", "TB", 2,( 0.6688,18.491, 1.2487, 6.822, 0.8888, 2.275, 0.0215))
add_form_factor("j2", "TB", 3,( 0.2892,18.497, 1.1678, 6.797, 0.9437, 2.257, 0.0232))
add_form_factor("j2", "DY", 2,( 0.5917,18.511, 1.1828, 6.747, 0.8801, 2.214, 0.0229))
add_form_factor("j2", "DY", 3,( 0.2523,18.517, 1.0914, 6.736, 0.9345, 2.208, 0.0250))
add_form_factor("j2", "HO", 2,( 0.5094,18.515, 1.1234, 6.706, 0.8727, 2.159, 0.0242))
add_form_factor("j2", "HO", 3,( 0.2188,18.516, 1.0240, 6.707, 0.9251, 2.161, 0.0268))
add_form_factor("j2", "ER", 2,( 0.4693,18.528, 1.0545, 6.649, 0.8679, 2.120, 0.0261))
add_form_factor("j2", "ER", 3,( 0.1710,18.534, 0.9879, 6.625, 0.9044, 2.100, 0.0278))
add_form_factor("j2", "TM", 2,( 0.4198,18.542, 0.9959, 6.600, 0.8593, 2.082, 0.0284))
add_form_factor("j2", "TM", 3,( 0.1760,18.542, 0.9105, 6.579, 0.8970, 2.062, 0.0294))
add_form_factor("j2", "YB", 2,( 0.3852,18.550, 0.9415, 6.551, 0.8492, 2.043, 0.0301))
add_form_factor("j2", "YB", 3,( 0.1570,18.555, 0.8484, 6.540, 0.8880, 2.037, 0.0318))
add_form_factor("j2", "U", 3,( 4.1582,16.534, 2.4675, 5.952,-0.0252, 0.765, 0.0057))
add_form_factor("j2", "U", 4,( 3.7449,13.894, 2.6453, 4.863,-0.5218, 3.192, 0.0009))
add_form_factor("j2", "U", 5,( 3.0724,12.546, 2.3076, 5.231,-0.0644, 1.474, 0.0035))
add_form_factor("j2", "NP", 3,( 3.7170,15.133, 2.3216, 5.503,-0.0275, 0.800, 0.0052))
add_form_factor("j2", "NP", 4,( 2.9203,14.646, 2.5979, 5.559,-0.0301, 0.367, 0.0141))
add_form_factor("j2", "NP", 5,( 2.3308,13.654, 2.7219, 5.494,-0.1357, 0.049, 0.1224))
add_form_factor("j2", "NP", 6,( 1.8245,13.180, 2.8508, 5.407,-0.1579, 0.044, 0.1438))
add_form_factor("j2", "PU", 3,( 2.0885,12.871, 2.5961, 5.190,-0.1465, 0.039, 0.1343))
add_form_factor("j2", "PU", 4,( 2.7244,12.926, 2.3387, 5.163,-0.1300, 0.046, 0.1177))
add_form_factor("j2", "PU", 5,( 2.1409,12.832, 2.5664, 5.152,-0.1338, 0.046, 0.1210))
add_form_factor("j2", "PU", 6,( 1.7262,12.324, 2.6652, 5.066,-0.1695, 0.041, 0.1550))
add_form_factor("j2", "AM", 2,( 3.5237,15.955, 2.2855, 5.195,-0.0142, 0.585, 0.0033))
add_form_factor("j2", "AM", 3,( 2.8622,14.733, 2.4099, 5.144,-0.1326, 0.031, 0.1233))
add_form_factor("j2", "AM", 4,( 2.4141,12.948, 2.3687, 4.945,-0.2490, 0.022, 0.2371))
add_form_factor("j2", "AM", 5,( 2.0109,12.053, 2.4155, 4.836,-0.2264, 0.027, 0.2128))
add_form_factor("j2", "AM", 6,( 1.6778,11.337, 2.4531, 4.725,-0.2043, 0.034, 0.1892))
add_form_factor("j2", "AM", 7,( 1.8845, 9.161, 2.0746, 4.042,-0.1318, 1.723, 0.0020))
# !---- <j4> Coefficients ----!
add_form_factor("j4", "SC", 0,( 1.3420,10.200, 0.3837, 3.079, 0.0468, 0.118,-0.0328))
add_form_factor("j4", "SC", 1,( 7.1167,15.487,-6.6671,18.269, 0.4900, 2.992, 0.0047))
add_form_factor("j4", "SC", 2,(-1.6684,15.648, 1.7742, 9.062, 0.4075, 2.412, 0.0042))
add_form_factor("j4", "TI", 0,(-2.1515,11.271, 2.5149, 8.859, 0.3555, 2.149, 0.0045))
add_form_factor("j4", "TI", 1,(-1.0383,16.190, 1.4699, 8.924, 0.3631, 2.283, 0.0044))
add_form_factor("j4", "TI", 2,(-1.3242,15.310, 1.2042, 7.899, 0.3976, 2.156, 0.0051))
add_form_factor("j4", "TI", 3,(-1.1117,14.635, 0.7689, 6.927, 0.4385, 2.089, 0.0060))
add_form_factor("j4", "V", 0,(-0.9633,15.273, 0.9274, 7.732, 0.3891, 2.053, 0.0063))
add_form_factor("j4", "V", 1,(-0.9606,15.545, 1.1278, 8.118, 0.3653, 2.097, 0.0056))
add_form_factor("j4", "V", 2,(-1.1729,14.973, 0.9092, 7.613, 0.4105, 2.039, 0.0067))
add_form_factor("j4", "V", 3,(-0.9417,14.205, 0.5284, 6.607, 0.4411, 1.967, 0.0076))
add_form_factor("j4", "V", 4,(-0.7654,13.097, 0.3071, 5.674, 0.4476, 1.871, 0.0081))
add_form_factor("j4", "CR", 0,(-0.6670,19.613, 0.5342, 6.478, 0.3641, 1.905, 0.0073))
add_form_factor("j4", "CR", 1,(-0.8309,18.043, 0.7252, 7.531, 0.3828, 2.003, 0.0073))
add_form_factor("j4", "CR", 2,(-0.8930,15.664, 0.5590, 7.033, 0.4093, 1.924, 0.0081))
add_form_factor("j4", "CR", 3,(-0.7327,14.073, 0.3268, 5.674, 0.4114, 1.810, 0.0085))
add_form_factor("j4", "CR", 4,(-0.6748,12.946, 0.1805, 6.753, 0.4526, 1.800, 0.0098))
add_form_factor("j4", "MN", 0,(-0.5452,15.471, 0.4406, 4.902, 0.2884, 1.543, 0.0059))
add_form_factor("j4", "MN", 1,(-0.7947,17.867, 0.6078, 7.704, 0.3798, 1.905, 0.0087))
add_form_factor("j4", "MN", 2,(-0.7416,15.255, 0.3831, 6.469, 0.3935, 1.800, 0.0093))
add_form_factor("j4", "MN", 3,(-0.6603,13.607, 0.2322, 6.218, 0.4104, 1.740, 0.0101))
add_form_factor("j4", "MN", 4,(-0.5127,13.461, 0.0313, 7.763, 0.4282, 1.701, 0.0113))
add_form_factor("j4", "FE", 0,(-0.5029,19.677, 0.2999, 3.776, 0.2576, 1.424, 0.0071))
add_form_factor("j4", "FE", 1,(-0.5109,19.250, 0.3896, 4.891, 0.2810, 1.526, 0.0069))
add_form_factor("j4", "FE", 2,(-0.5401,17.227, 0.2865, 3.742, 0.2658, 1.424, 0.0076))
add_form_factor("j4", "FE", 3,(-0.5507,11.493, 0.2153, 4.906, 0.3468, 1.523, 0.0095))
add_form_factor("j4", "FE", 4,(-0.5352, 9.507, 0.1783, 5.175, 0.3584, 1.469, 0.0097))
add_form_factor("j4", "CO", 0,(-0.4221,14.195, 0.2900, 3.979, 0.2469, 1.286, 0.0063))
add_form_factor("j4", "CO", 1,(-0.4115,14.561, 0.3580, 4.717, 0.2644, 1.418, 0.0074))
add_form_factor("j4", "CO", 2,(-0.4759,14.046, 0.2747, 3.731, 0.2458, 1.250, 0.0057))
add_form_factor("j4", "CO", 3,(-0.4466,13.391, 0.1419, 3.011, 0.2773, 1.335, 0.0093))
add_form_factor("j4", "CO", 4,(-0.4091,13.194,-0.0194, 3.417, 0.3534, 1.421, 0.0112))
add_form_factor("j4", "NI", 0,(-0.4428,14.485, 0.0870, 3.234, 0.2932, 1.331, 0.0096))
add_form_factor("j4", "NI", 1,(-0.3836,13.425, 0.3116, 4.462, 0.2471, 1.309, 0.0079))
add_form_factor("j4", "NI", 2,(-0.3803,10.403, 0.2838, 3.378, 0.2108, 1.104, 0.0050))
add_form_factor("j4", "NI", 3,(-0.3715, 8.952, 0.1211, 2.940, 0.2526, 1.105, 0.0061))
add_form_factor("j4", "NI", 4,(-0.3509, 8.157, 0.2220, 2.106, 0.1567, 0.925, 0.0065))
add_form_factor("j4", "CU", 0,(-0.3204,15.132, 0.2335, 4.021, 0.2312, 1.196, 0.0068))
add_form_factor("j4", "CU", 1,(-0.3572,15.125, 0.2336, 3.966, 0.2315, 1.197, 0.0070))
add_form_factor("j4", "CU", 2,(-0.3914,14.740, 0.1275, 3.384, 0.2548, 1.255, 0.0103))
add_form_factor("j4", "CU", 3,(-0.3671,14.082,-0.0078, 3.315, 0.3154, 1.377, 0.0132))
add_form_factor("j4", "CU", 4,(-0.2915,14.124,-0.1065, 4.201, 0.3247, 1.352, 0.0148))
add_form_factor("j4", "Y", 0,(-8.0767,32.201, 7.9197,25.156, 1.4067, 6.827,-0.0001))
add_form_factor("j4", "ZR", 0,(-5.2697,32.868, 4.1930,24.183, 1.5202, 6.048,-0.0002))
add_form_factor("j4", "ZR", 1,(-5.6384,33.607, 4.6729,22.338, 1.3258, 5.924,-0.0003))
add_form_factor("j4", "NB", 0,(-3.1377,25.595, 2.3411,16.569, 1.2304, 4.990,-0.0005))
add_form_factor("j4", "NB", 1,(-3.3598,25.820, 2.8297,16.427, 1.1203, 4.982,-0.0005))
add_form_factor("j4", "MO", 0,(-2.8860,20.572, 1.8130,14.628, 1.1899, 4.264,-0.0008))
add_form_factor("j4", "MO", 1,(-3.2618,25.486, 2.3596,16.462, 1.1164, 4.491,-0.0007))
add_form_factor("j4", "TC", 0,(-2.7975,20.159, 1.6520,16.261, 1.1726, 3.943,-0.0008))
add_form_factor("j4", "TC", 1,(-2.0470,19.683, 1.6306,11.592, 0.8698, 3.769,-0.0010))
add_form_factor("j4", "RU", 0,(-1.5042,17.949, 0.6027, 9.961, 0.9700, 3.393,-0.0010))
add_form_factor("j4", "RU", 1,(-1.6278,18.506, 1.1828,10.189, 0.8138, 3.418,-0.0009))
add_form_factor("j4", "RH", 0,(-1.3492,17.577, 0.4527,10.507, 0.9285, 3.155,-0.0009))
add_form_factor("j4", "RH", 1,(-1.4673,17.957, 0.7381, 9.944, 0.8485, 3.126,-0.0012))
add_form_factor("j4", "PD", 0,(-1.1955,17.628, 0.3183,11.309, 0.8696, 2.909,-0.0006))
add_form_factor("j4", "PD", 1,(-1.4098,17.765, 0.7927, 9.999, 0.7710, 2.930,-0.0006))
add_form_factor("j4", "CE", 2,(-0.6468,10.533, 0.4052, 5.624, 0.3412, 1.535, 0.0080))
add_form_factor("j4", "ND", 2,(-0.5416,12.204, 0.3571, 6.169, 0.3154, 1.485, 0.0098))
add_form_factor("j4", "ND", 3,(-0.4053,14.014, 0.0329, 7.005, 0.3759, 1.707, 0.0209))
add_form_factor("j4", "SM", 2,(-0.4150,14.057, 0.1368, 7.032, 0.3272, 1.582, 0.0192))
add_form_factor("j4", "SM", 3,(-0.4288,10.052, 0.1782, 5.019, 0.2833, 1.236, 0.0088))
add_form_factor("j4", "EU", 2,(-0.4145,10.193, 0.2447, 5.164, 0.2661, 1.205, 0.0065))
add_form_factor("j4", "EU", 3,(-0.4095,10.211, 0.1485, 5.175, 0.2720, 1.237, 0.0131))
add_form_factor("j4", "GD", 2,(-0.3824,10.344, 0.1955, 5.306, 0.2622, 1.203, 0.0097))
add_form_factor("j4", "GD", 3,(-0.3621,10.353, 0.1016, 5.310, 0.2649, 1.219, 0.0147))
add_form_factor("j4", "TB", 2,(-0.3443,10.469, 0.1481, 5.416, 0.2575, 1.182, 0.0104))
add_form_factor("j4", "TB", 3,(-0.3228,10.476, 0.0638, 5.419, 0.2566, 1.196, 0.0159))
add_form_factor("j4", "DY", 2,(-0.3206,12.071, 0.0904, 8.026, 0.2616, 1.230, 0.0143))
add_form_factor("j4", "DY", 3,(-0.2829, 9.525, 0.0565, 4.429, 0.2437, 1.066, 0.0092))
add_form_factor("j4", "HO", 2,(-0.2976, 9.719, 0.1224, 4.635, 0.2279, 1.005, 0.0063))
add_form_factor("j4", "HO", 3,(-0.2717, 9.731, 0.0474, 4.638, 0.2292, 1.047, 0.0124))
add_form_factor("j4", "ER", 2,(-0.2975, 9.829, 0.1189, 4.741, 0.2116, 1.004, 0.0117))
add_form_factor("j4", "ER", 3,(-0.2568, 9.834, 0.0356, 4.741, 0.2172, 1.028, 0.0148))
add_form_factor("j4", "TM", 2,(-0.2677, 9.888, 0.0925, 4.784, 0.2056, 0.990, 0.0124))
add_form_factor("j4", "TM", 3,(-0.2292, 9.895, 0.0124, 4.785, 0.2108, 1.007, 0.0151))
add_form_factor("j4", "YB", 2,(-0.2393, 9.947, 0.0663, 4.823, 0.2009, 0.965, 0.0122))
add_form_factor("j4", "YB", 3,(-0.2121, 8.197, 0.0325, 3.153, 0.1975, 0.884, 0.0093))
add_form_factor("j4", "U", 3,(-0.9859,16.601, 0.6116, 6.515, 0.6020, 2.597,-0.0010))
add_form_factor("j4", "U", 4,(-1.0540,16.605, 0.4339, 6.512, 0.6746, 2.599,-0.0011))
add_form_factor("j4", "U", 5,(-0.9588,16.485, 0.1576, 6.440, 0.7785, 2.640,-0.0010))
add_form_factor("j4", "NP", 3,(-0.9029,16.586, 0.4006, 6.470, 0.6545, 2.563,-0.0004))
add_form_factor("j4", "NP", 4,(-0.9887,12.441, 0.5918, 5.294, 0.5306, 2.263,-0.0021))
add_form_factor("j4", "NP", 5,(-0.8146,16.581,-0.0055, 6.475, 0.7956, 2.562,-0.0004))
add_form_factor("j4", "NP", 6,(-0.6738,16.553,-0.2297, 6.505, 0.8513, 2.553,-0.0003))
add_form_factor("j4", "PU", 3,(-0.7014,16.369,-0.1162, 6.697, 0.7778, 2.450, 0.0000))
add_form_factor("j4", "PU", 4,(-0.9160,12.203, 0.4891, 5.127, 0.5290, 2.149,-0.0022))
add_form_factor("j4", "PU", 5,(-0.7035,16.360,-0.0979, 6.706, 0.7726, 2.447, 0.0000))
add_form_factor("j4", "PU", 6,(-0.5560,16.322,-0.3046, 6.768, 0.8146, 2.426, 0.0001))
add_form_factor("j4", "AM", 2,(-0.7433,16.416, 0.3481, 6.788, 0.6014, 2.346, 0.0000))
add_form_factor("j4", "AM", 3,(-0.8092,12.854, 0.4161, 5.459, 0.5476, 2.172,-0.0011))
add_form_factor("j4", "AM", 4,(-0.8548,12.226, 0.3037, 5.909, 0.6173, 2.188,-0.0016))
add_form_factor("j4", "AM", 5,(-0.6538,15.462,-0.0948, 5.997, 0.7295, 2.297, 0.0000))
add_form_factor("j4", "AM", 6,(-0.5390,15.449,-0.2689, 6.017, 0.7711, 2.297, 0.0002))
add_form_factor("j4", "AM", 7,(-0.4688,12.019,-0.2692, 7.042, 0.7297, 2.164,-0.0011))
# !---- <j6> Coefficients ----!
add_form_factor("j6", "CE", 2,(-0.1212, 7.994,-0.0639, 4.024, 0.1519, 1.096, 0.0078))
add_form_factor("j6", "ND", 2,(-0.1600, 8.009, 0.0272, 4.028, 0.1104, 1.068, 0.0139))
add_form_factor("j6", "ND", 3,(-0.0416, 8.014,-0.1261, 4.040, 0.1400, 1.087, 0.0102))
add_form_factor("j6", "SM", 2,(-0.1428, 6.041, 0.0723, 2.033, 0.0550, 0.513, 0.0081))
add_form_factor("j6", "SM", 3,(-0.0944, 6.030,-0.0498, 2.074, 0.1372, 0.645,-0.0132))
add_form_factor("j6", "EU", 2,(-0.1252, 6.049, 0.0507, 2.085, 0.0572, 0.646, 0.0132))
add_form_factor("j6", "EU", 3,(-0.0817, 6.039,-0.0596, 2.120, 0.1243, 0.764,-0.0001))
add_form_factor("j6", "GD", 2,(-0.1351, 5.030, 0.0828, 2.025, 0.0315, 0.503, 0.0187))
add_form_factor("j6", "GD", 3,(-0.0662, 6.031,-0.0850, 2.154, 0.1323, 0.891, 0.0048))
add_form_factor("j6", "TB", 2,(-0.0758, 6.032,-0.0540, 2.158, 0.1199, 0.890, 0.0051))
add_form_factor("j6", "TB", 3,(-0.0559, 6.031,-0.1020, 2.237, 0.1264, 1.107, 0.0167))
add_form_factor("j6", "DY", 2,(-0.0568, 6.032,-0.1003, 2.240, 0.1401, 1.106, 0.0109))
add_form_factor("j6", "DY", 3,(-0.0423, 6.038,-0.1248, 2.244, 0.1359, 1.200, 0.0188))
add_form_factor("j6", "HO", 2,(-0.0725, 6.045,-0.0318, 2.243, 0.0738, 1.202, 0.0252))
add_form_factor("j6", "HO", 3,(-0.0289, 6.050,-0.1545, 2.230, 0.1550, 1.260, 0.0177))
add_form_factor("j6", "ER", 2,(-0.0648, 6.056,-0.0515, 2.230, 0.0825, 1.264, 0.0250))
add_form_factor("j6", "ER", 3,(-0.0110, 6.061,-0.1954, 2.224, 0.1818, 1.296, 0.0149))
add_form_factor("j6", "TM", 2,(-0.0842, 4.070, 0.0807, 0.849,-0.2087, 0.039, 0.2095))
add_form_factor("j6", "TM", 3,(-0.0727, 4.073, 0.0243, 0.689, 3.9459, 0.002,-3.9076))
add_form_factor("j6", "YB", 2,(-0.0739, 5.031, 0.0140, 2.030, 0.0351, 0.508, 0.0174))
add_form_factor("j6", "YB", 3,(-0.0345, 5.007,-0.0677, 2.020, 0.0985, 0.549,-0.0076))
add_form_factor("j6", "U", 3,(-0.3797, 9.953, 0.0459, 5.038, 0.2748, 1.607, 0.0016))
add_form_factor("j6", "U", 4,(-0.1793,11.896,-0.2269, 5.428, 0.3291, 1.701, 0.0030))
add_form_factor("j6", "U", 5,(-0.0399,11.891,-0.3458, 5.580, 0.3340, 1.645, 0.0029))
add_form_factor("j6", "NP", 3,(-0.2427,11.844,-0.1129, 5.377, 0.2848, 1.568, 0.0022))
add_form_factor("j6", "NP", 4,(-0.2436, 9.599,-0.1317, 4.101, 0.3029, 1.545, 0.0019))
add_form_factor("j6", "NP", 5,(-0.1157, 9.565,-0.2654, 4.260, 0.3298, 1.549, 0.0025))
add_form_factor("j6", "NP", 6,(-0.0128, 9.569,-0.3611, 4.304, 0.3419, 1.541, 0.0032))
add_form_factor("j6", "PU", 3,(-0.0364, 9.572,-0.3181, 4.342, 0.3210, 1.523, 0.0041))
add_form_factor("j6", "PU", 4,(-0.2394, 7.837,-0.0785, 4.024, 0.2643, 1.378, 0.0012))
add_form_factor("j6", "PU", 5,(-0.1090, 7.819,-0.2243, 4.100, 0.2947, 1.404, 0.0015))
add_form_factor("j6", "PU", 6,(-0.0001, 7.820,-0.3354, 4.144, 0.3097, 1.403, 0.0020))
add_form_factor("j6", "AM", 2,(-0.3176, 7.864, 0.0771, 4.161, 0.2194, 1.339, 0.0018))
add_form_factor("j6", "AM", 3,(-0.3159, 6.982, 0.0682, 3.995, 0.2141, 1.188,-0.0015))
add_form_factor("j6", "AM", 4,(-0.1787, 7.880,-0.1274, 4.090, 0.2565, 1.315, 0.0017))
add_form_factor("j6", "AM", 5,(-0.0927, 6.073,-0.2227, 3.784, 0.2916, 1.372, 0.0026))
add_form_factor("j6", "AM", 6,( 0.0152, 6.079,-0.3549, 3.861, 0.3125, 1.403, 0.0036))
add_form_factor("j6", "AM", 7,( 0.1292, 6.082,-0.4689, 3.879, 0.3234, 1.393, 0.0042))
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