本文整理汇总了Python中gpaw.xc.XC.calculate_spherical方法的典型用法代码示例。如果您正苦于以下问题:Python XC.calculate_spherical方法的具体用法?Python XC.calculate_spherical怎么用?Python XC.calculate_spherical使用的例子?那么, 这里精选的方法代码示例或许可以为您提供帮助。您也可以进一步了解该方法所在类gpaw.xc.XC
的用法示例。
在下文中一共展示了XC.calculate_spherical方法的8个代码示例,这些例子默认根据受欢迎程度排序。您可以为喜欢或者感觉有用的代码点赞,您的评价将有助于系统推荐出更棒的Python代码示例。
示例1: EquidistantRadialGridDescriptor
# 需要导入模块: from gpaw.xc import XC [as 别名]
# 或者: from gpaw.xc.XC import calculate_spherical [as 别名]
from gpaw.atom.radialgd import EquidistantRadialGridDescriptor
from gpaw.grid_descriptor import GridDescriptor
from gpaw.xc import XC
import numpy as np
from gpaw.test import equal
rgd = EquidistantRadialGridDescriptor(0.01, 100)
for name in ['LDA', 'PBE']:
xc = XC(name)
for nspins in [1, 2]:
n = rgd.zeros(nspins)
v = rgd.zeros(nspins)
n[:] = np.exp(-rgd.r_g**2)
n[-1] *= 2
E = xc.calculate_spherical(rgd, n, v)
i = 23
x = v[-1, i] * rgd.dv_g[i]
n[-1, i] += 0.000001
Ep = xc.calculate_spherical(rgd, n, v)
n[-1, i] -= 0.000002
Em = xc.calculate_spherical(rgd, n, v)
x2 = (Ep - Em) / 0.000002
print(name, nspins, E, x, x2, x - x2)
equal(x, x2, 1e-9)
n[-1, i] += 0.000001
if nspins == 1:
ns = rgd.empty(2)
ns[:] = n / 2
Es = xc.calculate_spherical(rgd, ns, 0 * ns)
equal(E, Es, 1e-13)
示例2: C_XC
# 需要导入模块: from gpaw.xc import XC [as 别名]
# 或者: from gpaw.xc.XC import calculate_spherical [as 别名]
class C_XC(Contribution):
def __init__(self, nlfunc, weight, functional = 'LDA'):
Contribution.__init__(self, nlfunc, weight)
self.functional = functional
def get_name(self):
return 'XC'
def get_desc(self):
return "("+self.functional+")"
def initialize(self):
self.xc = XC(self.functional)
self.vt_sg = self.nlfunc.finegd.empty(self.nlfunc.nspins)
self.e_g = self.nlfunc.finegd.empty()
def initialize_1d(self):
self.ae = self.nlfunc.ae
self.xc = XC(self.functional)
self.v_g = np.zeros(self.ae.N)
def calculate_spinpaired(self, e_g, n_g, v_g):
self.e_g[:] = 0.0
self.vt_sg[:] = 0.0
self.xc.calculate(self.nlfunc.finegd, n_g[None, ...], self.vt_sg,
self.e_g)
v_g += self.weight * self.vt_sg[0]
e_g += self.weight * self.e_g
def calculate_spinpolarized(self, e_g, n_sg, v_sg):
self.e_g[:] = 0.0
self.vt_sg[:] = 0.0
self.xc.calculate(self.nlfunc.finegd, n_sg, self.vt_sg, self.e_g)
#self.xc.get_energy_and_potential(na_g, self.vt_sg[0], nb_g, self.vt_sg[1], e_g=self.e_g)
v_sg[0] += self.weight * self.vt_sg[0]
v_sg[1] += self.weight * self.vt_sg[1]
e_g += self.weight * self.e_g
def calculate_energy_and_derivatives(self, setup, D_sp, H_sp, a, addcoredensity=True):
E = self.xc.calculate_paw_correction(setup, D_sp, H_sp, True, a)
E += setup.xc_correction.Exc0
print("E", E)
return E
def add_xc_potential_and_energy_1d(self, v_g):
self.v_g[:] = 0.0
Exc = self.xc.calculate_spherical(self.ae.rgd,
self.ae.n.reshape((1, -1)),
self.v_g.reshape((1, -1)))
v_g += self.weight * self.v_g
return self.weight * Exc
def add_smooth_xc_potential_and_energy_1d(self, vt_g):
self.v_g[:] = 0.0
Exc = self.xc.calculate_spherical(self.ae.rgd,
self.ae.nt.reshape((1, -1)),
self.v_g.reshape((1, -1)))
vt_g += self.weight * self.v_g
return self.weight * Exc
def initialize_from_atomic_orbitals(self, basis_functions):
# LDA needs only density, which is already initialized
pass
def add_extra_setup_data(self, dict):
# LDA has not any special data
pass
def write(self, writer, natoms):
# LDA has not any special data to be written
pass
def read(self, reader):
# LDA has not any special data to be read
pass
示例3: C_GLLBScr
# 需要导入模块: from gpaw.xc import XC [as 别名]
# 或者: from gpaw.xc.XC import calculate_spherical [as 别名]
class C_GLLBScr(Contribution):
def __init__(self, nlfunc, weight, functional='GGA_X_B88', metallic=False):
Contribution.__init__(self, nlfunc, weight)
self.functional = functional
self.old_coeffs = None
self.iter = 0
self.metallic = metallic
def get_name(self):
return 'SCREENING'
def get_desc(self):
return '(' + self.functional + ')'
# Initialize GLLBScr functional
def initialize_1d(self):
self.ae = self.nlfunc.ae
self.xc = XC(self.functional)
self.v_g = np.zeros(self.ae.N)
self.e_g = np.zeros(self.ae.N)
# Calcualte the GLLB potential and energy 1d
def add_xc_potential_and_energy_1d(self, v_g):
self.v_g[:] = 0.0
self.e_g[:] = 0.0
self.xc.calculate_spherical(self.ae.rgd, self.ae.n.reshape((1, -1)),
self.v_g.reshape((1, -1)), self.e_g)
v_g += 2 * self.weight * self.e_g / (self.ae.n + 1e-10)
Exc = self.weight * np.sum(self.e_g * self.ae.rgd.dv_g)
return Exc
def initialize(self):
self.occupations = self.nlfunc.occupations
self.xc = XC(self.functional)
# Always 1 spin, no matter what calculation nspins is
self.vt_sg = self.nlfunc.finegd.empty(1)
self.e_g = self.nlfunc.finegd.empty()#.ravel()
def get_coefficient_calculator(self):
return self
def f(self, f):
return sqrt(f)
def get_coefficients(self, e_j, f_j):
homo_e = max( [ np.where(f>1e-3, e, -1000) for f,e in zip(f_j, e_j)] )
return [ f * K_G * self.f( max(0, homo_e - e)) for e,f in zip(e_j, f_j) ]
def get_coefficients_1d(self, smooth=False, lumo_perturbation = False):
homo_e = max( [ np.where(f>1e-3, e, -1000) for f,e in zip(self.ae.f_j, self.ae.e_j)])
if not smooth:
if lumo_perturbation:
lumo_e = min( [ np.where(f<1e-3, e, 1000) for f,e in zip(self.ae.f_j, self.ae.e_j)])
return np.array([ f * K_G * (self.f( max(0, lumo_e - e)) - self.f(max(0, homo_e -e)))
for e,f in zip(self.ae.e_j, self.ae.f_j) ])
else:
return np.array([ f * K_G * (self.f( max(0, homo_e - e)))
for e,f in zip(self.ae.e_j, self.ae.f_j) ])
else:
return [ [ f * K_G * self.f( max(0, homo_e - e))
for e,f in zip(e_n, f_n) ]
for e_n, f_n in zip(self.ae.e_ln, self.ae.f_ln) ]
def get_coefficients_by_kpt(self, kpt_u, lumo_perturbation=False, homolumo=None, nspins=1):
if not hasattr(kpt_u[0],'orbitals_ready'):
kpt_u[0].orbitals_ready = True
return None
#if kpt_u[0].psit_nG is None or isinstance(kpt_u[0].psit_nG,
# TarFileReference):
# if kpt_u[0].C_nM==None:
# return None
if homolumo == None:
if self.metallic:
# For metallic systems, the calculated fermi level represents
# the most accurate estimate for reference-energy
eref_lumo_s = eref_s = nspins * [ self.occupations.get_fermi_level() ]
else:
# Find homo and lumo levels for each spin
eref_s = []
eref_lumo_s = []
for s in range(nspins):
homo, lumo = self.occupations.get_homo_lumo_by_spin(self.nlfunc.wfs, s)
eref_s.append(homo)
eref_lumo_s.append(lumo)
else:
eref_s, eref_lumo_s = homolumo
if not isinstance(eref_s, (list, tuple)):
eref_s = [ eref_s ]
eref_lumo_s = [ eref_lumo_s ]
# The parameter ee might sometimes be set to small thereshold value to
# achieve convergence on small systems with degenerate HOMO.
if len(kpt_u) > nspins:
ee = 0.0
else:
ee = 0.05 / 27.21
#.........这里部分代码省略.........
示例4: __init__
# 需要导入模块: from gpaw.xc import XC [as 别名]
# 或者: from gpaw.xc.XC import calculate_spherical [as 别名]
#.........这里部分代码省略.........
self.log('Basis functions: %s (%s)' %
(', '.join([str(nb) for nb in nb_l]),
', '.join('spdf'[:lmax + 1])))
self.vr_sg = self.rgd.zeros(self.nspins)
self.vr_sg[:] = -self.Z
def solve(self):
"""Diagonalize Schrödinger equation."""
self.eeig = 0.0
for channel in self.channels:
if self.method == 'Gaussian basis-set':
channel.solve(self.vr_sg[channel.s])
else:
channel.solve2(self.vr_sg[channel.s], self.scalar_relativistic)
self.eeig += channel.get_eigenvalue_sum()
def calculate_density(self):
"""Calculate elctron density and kinetic energy."""
self.n_sg = self.rgd.zeros(self.nspins)
for channel in self.channels:
self.n_sg[channel.s] += channel.calculate_density()
def calculate_electrostatic_potential(self):
"""Calculate electrostatic potential and energy."""
n_g = self.n_sg.sum(0)
self.vHr_g = self.rgd.poisson(n_g)
self.eH = 0.5 * self.rgd.integrate(n_g * self.vHr_g, -1)
self.eZ = -self.Z * self.rgd.integrate(n_g, -1)
def calculate_xc_potential(self):
self.vxc_sg = self.rgd.zeros(self.nspins)
self.exc = self.xc.calculate_spherical(self.rgd, self.n_sg, self.vxc_sg)
def step(self):
self.solve()
self.calculate_density()
self.calculate_electrostatic_potential()
self.calculate_xc_potential()
self.vr_sg = self.vxc_sg * self.rgd.r_g
self.vr_sg += self.vHr_g
self.vr_sg -= self.Z
self.ekin = (self.eeig -
self.rgd.integrate((self.vr_sg * self.n_sg).sum(0), -1))
def run(self, mix=0.4, maxiter=117, dnmax=1e-9):
if self.channels is None:
self.initialize()
if self.dirac:
equation = 'Dirac'
elif self.scalar_relativistic:
equation = 'scalar-relativistic Schrödinger'
else:
equation = 'non-relativistic Schrödinger'
self.log('\nSolving %s equation using %s:' % (equation, self.method))
dn = self.Z
for iter in range(maxiter):
self.log('.', end='')
self.fd.flush()
if iter > 0:
self.vr_sg *= mix
self.vr_sg += (1 - mix) * vr_old_sg
示例5: __init__
# 需要导入模块: from gpaw.xc import XC [as 别名]
# 或者: from gpaw.xc.XC import calculate_spherical [as 别名]
#.........这里部分代码省略.........
n[:] = self.calculate_density()
bar = '|------------------------------------------------|'
t(bar)
niter = 0
nitermax = 117
qOK = log(1e-10)
mix = 0.4
# orbital_free needs more iterations and coefficient
if self.orbital_free:
#qOK = log(1e-14)
e_j[0] /= self.tf_coeff
mix = 0.01
nitermax = 1000
vrold = None
while True:
# calculate hartree potential
hartree(0, n * r * dr, r, vHr)
# add potential from nuclear point charge (v = -Z / r)
vHr -= Z
# calculated exchange correlation potential and energy
self.vXC[:] = 0.0
if self.xc.type == 'GLLB':
# Update the potential to self.vXC an the energy to self.Exc
Exc = self.xc.get_xc_potential_and_energy_1d(self.vXC)
else:
Exc = self.xc.calculate_spherical(self.rgd,
n.reshape((1, -1)),
self.vXC.reshape((1, -1)))
# calculate new total Kohn-Sham effective potential and
# admix with old version
vr[:] = (vHr + self.vXC * r) / self.tf_coeff
if niter > 0:
vr[:] = mix * vr + (1 - mix) * vrold
vrold = vr.copy()
# solve Kohn-Sham equation and determine the density change
self.solve()
dn = self.calculate_density() - n
n += dn
# estimate error from the square of the density change integrated
q = log(np.sum((r * dn)**2))
# print progress bar
if niter == 0:
q0 = q
b0 = 0
else:
b = int((q0 - q) / (q0 - qOK) * 50)
if b > b0:
self.txt.write(bar[b0:min(b, 50)])
self.txt.flush()
b0 = b
# check if converged and break loop if so
if q < qOK:
示例6: __init__
# 需要导入模块: from gpaw.xc import XC [as 别名]
# 或者: from gpaw.xc.XC import calculate_spherical [as 别名]
#.........这里部分代码省略.........
j = abs(k) - 0.5
f_n = (2 * j + 1) / (4 * l + 2) * np.array(f_n)
self.channels.append(DiracChannel(k, f_n, basis))
self.log('Basis functions: %s (%s)' %
(', '.join([str(nb) for nb in nb_l]),
', '.join('spdf'[:lmax + 1])))
self.vr_sg = self.gd.zeros(self.nspins)
self.vr_sg[:] = -self.Z
def solve(self):
"""Diagonalize Schrödinger equation."""
self.eeig = 0.0
for channel in self.channels:
channel.solve(self.vr_sg[channel.s])
self.eeig += channel.get_eigenvalue_sum()
def calculate_density(self):
"""Calculate elctron density and kinetic energy."""
self.n_sg = self.gd.zeros(self.nspins)
for channel in self.channels:
self.n_sg[channel.s] += channel.calculate_density()
def calculate_electrostatic_potential(self):
"""Calculate electrostatic potential and energy."""
n_g = self.n_sg.sum(0)
self.vHr_g = self.gd.poisson(n_g)
self.eH = 0.5 * self.gd.integrate(n_g * self.vHr_g, -1)
self.eZ = -self.Z * self.gd.integrate(n_g, -1)
def calculate_xc_potential(self):
self.vxc_sg = self.gd.zeros(self.nspins)
self.exc = self.xc.calculate_spherical(self.gd, self.n_sg, self.vxc_sg)
def step(self):
self.solve()
self.calculate_density()
self.calculate_electrostatic_potential()
self.calculate_xc_potential()
self.vr_sg = self.vxc_sg * self.gd.r_g
self.vr_sg += self.vHr_g
self.vr_sg -= self.Z
self.ekin = (self.eeig -
self.gd.integrate((self.vr_sg * self.n_sg).sum(0), -1))
def run(self, mix=0.4, maxiter=117, dnmax=1e-9):
if self.channels is None:
self.initialize()
dn = self.Z
pb = ProgressBar(log(dnmax / dn), 0, 53, self.fd)
self.log()
for iter in range(maxiter):
if iter > 1:
self.vr_sg *= mix
self.vr_sg += (1 - mix) * vr_old_sg
dn = self.gd.integrate(abs(self.n_sg - n_old_sg).sum(0))
pb(log(dnmax / dn))
if dn <= dnmax:
break
vr_old_sg = self.vr_sg
n_old_sg = self.n_sg
self.step()
示例7: C_XC
# 需要导入模块: from gpaw.xc import XC [as 别名]
# 或者: from gpaw.xc.XC import calculate_spherical [as 别名]
#.........这里部分代码省略.........
v_g[:] = 0.0
e_g[:] = 0.0
n_g = np.dot(Y_L, n_Lg)
self.xc.kernel.calculate(e_g, n_g.reshape((1, -1)),
v_g.reshape((1, -1)),
a2_g.reshape((1, -1)),
deda2_g.reshape((1, -1)))
E += w * np.dot(e_g, c.rgd.dv_g)
x_g = -2.0 * deda2_g * c.rgd.dv_g * a1_g
c.rgd.derivative2(x_g, x_g)
x_g += v_g * c.rgd.dv_g
dEdD_p += self.weight * w * np.dot(dot3(c.B_pqL, Y_L),
np.dot(c.n_qg, x_g))
x_g = 8.0 * pi * deda2_g * c.rgd.dr_g
dEdD_p += w * np.dot(dot3(c.B_pqL,
A_Li[:, 0]),
np.dot(c.n_qg, x_g * a1x_g))
dEdD_p += w * np.dot(dot3(c.B_pqL,
A_Li[:, 1]),
np.dot(c.n_qg, x_g * a1y_g))
dEdD_p += w * np.dot(dot3(c.B_pqL,
A_Li[:, 2]),
np.dot(c.n_qg, x_g * a1z_g))
n_g = np.dot(Y_L, nt_Lg)
a1x_g = np.dot(A_Li[:, 0], nt_Lg)
a1y_g = np.dot(A_Li[:, 1], nt_Lg)
a1z_g = np.dot(A_Li[:, 2], nt_Lg)
a2_g = a1x_g**2 + a1y_g**2 + a1z_g**2
a2_g[1:] /= c.rgd.r_g[1:]**2
a2_g[0] = a2_g[1]
a1_g = np.dot(Y_L, dntdr_Lg)
a2_g += a1_g**2
v_g = np.zeros(c.ng)
e_g = np.zeros(c.ng)
deda2_g = np.zeros(c.ng)
v_g[:] = 0.0
e_g[:] = 0.0
self.xc.kernel.calculate(e_g, n_g.reshape((1, -1)),
v_g.reshape((1, -1)),
a2_g.reshape((1, -1)),
deda2_g.reshape((1, -1)))
E -= w * np.dot(e_g, c.dv_g)
x_g = -2.0 * deda2_g * c.dv_g * a1_g
c.rgd.derivative2(x_g, x_g)
x_g += v_g * c.dv_g
B_Lqp = c.B_pqL.T
dEdD_p -= w * np.dot(dot3(c.B_pqL, Y_L),
np.dot(c.nt_qg, x_g))
x_g = 8.0 * pi * deda2_g * c.rgd.dr_g
dEdD_p -= w * np.dot(dot3(c.B_pqL,
A_Li[:, 0]),
np.dot(c.nt_qg, x_g * a1x_g))
dEdD_p -= w * np.dot(dot3(c.B_pqL,
A_Li[:, 1]),
np.dot(c.nt_qg, x_g * a1y_g))
dEdD_p -= w * np.dot(dot3(c.B_pqL,
A_Li[:, 2]),
np.dot(c.nt_qg, x_g * a1z_g))
y += 1
return (E) * self.weight
def add_xc_potential_and_energy_1d(self, v_g):
self.v_g[:] = 0.0
Exc = self.xc.calculate_spherical(self.ae.rgd,
self.ae.n.reshape((1, -1)),
self.v_g.reshape((1, -1)))
v_g += self.weight * self.v_g
return self.weight * Exc
def add_smooth_xc_potential_and_energy_1d(self, vt_g):
self.v_g[:] = 0.0
Exc = self.xc.calculate_spherical(self.ae.rgd,
self.ae.nt.reshape((1, -1)),
self.v_g.reshape((1, -1)))
vt_g += self.weight * self.v_g
return self.weight * Exc
def initialize_from_atomic_orbitals(self, basis_functions):
# LDA needs only density, which is already initialized
pass
def add_extra_setup_data(self, dict):
# LDA has not any special data
pass
def write(self, writer, natoms):
# LDA has not any special data to be written
pass
def read(self, reader):
# LDA has not any special data to be read
pass
示例8: C_GLLBScr
# 需要导入模块: from gpaw.xc import XC [as 别名]
# 或者: from gpaw.xc.XC import calculate_spherical [as 别名]
class C_GLLBScr(Contribution):
def __init__(self, nlfunc, weight, functional='GGA_X_B88'):
Contribution.__init__(self, nlfunc, weight)
self.functional = functional
self.old_coeffs = None
self.iter = 0
def get_name(self):
return 'SCREENING'
def get_desc(self):
return '(' + self.functional + ')'
# Initialize GLLBScr functional
def initialize_1d(self):
self.ae = self.nlfunc.ae
self.xc = XC(self.functional)
self.v_g = np.zeros(self.ae.N)
self.e_g = np.zeros(self.ae.N)
# Calcualte the GLLB potential and energy 1d
def add_xc_potential_and_energy_1d(self, v_g):
self.v_g[:] = 0.0
self.e_g[:] = 0.0
self.xc.calculate_spherical(self.ae.rgd, self.ae.n.reshape((1, -1)),
self.v_g.reshape((1, -1)), self.e_g)
v_g += 2 * self.weight * self.e_g / (self.ae.n + 1e-10)
Exc = self.weight * np.sum(self.e_g * self.ae.rgd.dv_g)
return Exc
def initialize(self):
self.occupations = self.nlfunc.occupations
self.xc = XC(self.functional)
self.vt_sg = self.nlfunc.finegd.empty(self.nlfunc.nspins)
self.e_g = self.nlfunc.finegd.empty()#.ravel()
def get_coefficient_calculator(self):
return self
def f(self, f):
return sqrt(f)
def get_coefficients_1d(self, smooth=False, lumo_perturbation = False):
homo_e = max( [ np.where(f>1e-3, e, -1000) for f,e in zip(self.ae.f_j, self.ae.e_j)])
if not smooth:
if lumo_perturbation:
lumo_e = min( [ np.where(f<1e-3, e, 1000) for f,e in zip(self.ae.f_j, self.ae.e_j)])
return np.array([ f * K_G * (self.f( max(0, lumo_e - e)) - self.f(max(0, homo_e -e)))
for e,f in zip(self.ae.e_j, self.ae.f_j) ])
else:
return np.array([ f * K_G * (self.f( max(0, homo_e - e)))
for e,f in zip(self.ae.e_j, self.ae.f_j) ])
else:
return [ [ f * K_G * self.f( max(0, homo_e - e))
for e,f in zip(e_n, f_n) ]
for e_n, f_n in zip(self.ae.e_ln, self.ae.f_ln) ]
def get_coefficients_by_kpt(self, kpt_u, lumo_perturbation=False, homolumo=None):
if kpt_u[0].psit_nG is None or isinstance(kpt_u[0].psit_nG,
TarFileReference):
return None
if homolumo == None:
e_ref, e_ref_lumo = self.occupations.get_homo_lumo(self.nlfunc.wfs)
else:
e_ref, e_ref_lumo = homolumo
# The parameter ee might sometimes be set to small thereshold value to
# achieve convergence on systems with degenerate HOMO.
if len(kpt_u) > 1:
ee = 0.0
else:
ee = 0.1 / 27.21
if lumo_perturbation:
return [np.array([
f * K_G * (self.f( np.where(e_ref_lumo - e>ee, e_ref_lumo-e,0))
-self.f( np.where(e_ref - e>ee, e_ref-e,0)))
for e, f in zip(kpt.eps_n, kpt.f_n) ])
for kpt in kpt_u ]
else:
coeff = [ np.array([ f * K_G * self.f( np.where(e_ref - e>ee, e_ref-e,0))
for e, f in zip(kpt.eps_n, kpt.f_n) ])
for kpt in kpt_u ]
if self.old_coeffs is None:
self.old_coeffs = coeff
else:
# Mix the coefficients with 25%
mix = 0.25
self.old_coeffs = [ (1-mix) * old + mix * new for new, old in zip(coeff, self.old_coeffs) ]
return self.old_coeffs
def calculate_spinpaired(self, e_g, n_g, v_g):
self.e_g[:] = 0.0
self.vt_sg[:] = 0.0
self.xc.calculate(self.nlfunc.finegd, n_g[None, ...], self.vt_sg,
#.........这里部分代码省略.........