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lps-lii-ps4-iodide-geometry/dump2cube_edge_corner.py
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2026-08-07 14:45:01 +09:00

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Python
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#!/usr/bin/env python
# ./dump2cube_edge_corner.py -i 050Li3PS4-050LiI.lammpstrj -m 160 160 160 -cut 8
import numpy as np
import argparse
import re
import os
import time
description = """This is a test program"""
par = argparse.ArgumentParser(description=description)
par.add_argument('-i', '--trjfile', default="", required=True,
help='input trjfile')
par.add_argument('-m', '--mesh', default=(30, 30, 30), required=False,
nargs=3, type=int, help='mesh grid')
par.add_argument('-cut', '--cutoff', default=7, required=False,
type=float, help='mesh grid')
args = par.parse_args()
ang_borr = 0.5291772109217
dirname = os.path.dirname(__file__)
class LammpsTrj():
def __init__(self):
"""
trjファイルを読み込んで、原子数、lattice、ステップ数を格納
"""
with open(args.trjfile) as o:
data = o.read().split()
self.atoms = int(data[7]) # 原子数
data = np.array(data).reshape(-1, self.atoms*7+32)
self.lattices = data[:, 17:23].astype(float) # (step, 6)
self.data = data[:, 32:] # 座標データ
self.steps = data.shape[0]
self.mesh = args.mesh
self.cutoff = args.cutoff
def setLattice(self, lat):
"""
latticeの形によって操作を分岐
self.M, self.M_を作成
"""
if lat.shape[0] == 6:
M = np.array([[lat[1]-lat[0], 0, 0],
[0, lat[3]-lat[2], 0],
[0, 0, lat[5]-lat[4]]]).astype(float)
if lat.shape[0] == 9:
xlo_bound, xhi_bound, xy = lat[0, 0], lat[0, 1], lat[0, 2]
ylo_bound, yhi_bound, xz = lat[1, 0], lat[1, 1], lat[1, 2]
zlo_bound, zhi_bound, yz = lat[2, 0], lat[2, 1], lat[2, 2]
xlo = xlo_bound - np.min([0.0, xy, xz, xy+xz])
xhi = xhi_bound - np.max([0.0, xy, xz, xy+xz])
ylo = ylo_bound - np.min([0.0, yz])
yhi = yhi_bound - np.max([0.0, yz])
zlo = zlo_bound
zhi = zhi_bound
lx = xhi - xlo
ly = yhi - ylo
lz = zhi - zlo
a = lx
b = np.sqrt(ly**2 + xy**2)
c = np.sqrt(lz**2 + xz**2 + yz**2)
alpha = np.arccos((xy*xz + ly*yz)/b/c)
beta = np.arccos(xz/c)
gamma = np.arccos(xy/b)
v1 = [a, 0, 0]
v2 = [b*np.cos(gamma), b*np.sin(gamma), 0]
v3 = [c*np.cos(beta),
c*(np.cos(alpha)-np.cos(beta)*np.cos(gamma))/np.sin(gamma),
c*np.sqrt(1+2*np.cos(alpha)*np.cos(beta)*np.cos(gamma)
- np.cos(alpha)**2-np.cos(beta)**2
- np.cos(gamma)**2 / np.sin(gamma))]
M = np.array([v1, v2, v3])
return M
def getOnestep(self, step):
"""
引数のstepにおける座標を、原子ごとにself.elems(辞書)に格納する
"""
step_data = self.data[step, :].reshape(self.atoms, -1) # (atoms, 6)
self.M = self.setLattice(self.lattices[step])
self.M_ = np.linalg.inv(self.M)
self.elems = {}
for e in np.unique(step_data[:, 2]):
d = step_data[step_data[:, 2] == e, 3:].astype(float)
dxyz = d[:, 0:3]
dxyz = dxyz @ self.M_
dxyz = dxyz - np.floor(dxyz)
d[:, 0:3] = dxyz
self.elems[e] = d
return self.elems
def makeCube(self, trjfile):
"""
P原子ごとに最も近い4つのI原子を選出し、Edge/Corner分類および回転を行う
"""
self.li_coords_list = []
self.i_coords_list = []
self.i_zero_coords_list = []
self.i_corner_coords_list = []
self.i_edge_coords_list = []
self.i_three_coords_list = []
self.li_hist = None
self.i_hist = None
self.i_hist_zero = None
self.i_hist_corner = None
self.i_hist_edge = None
self.i_hist_three = None
count_p = 0
I_S_CUTOFF = 4.7 # Edge/Corner判定用距離 (Angstrom)
for step in range(self.steps):
print(f"processing {step} step")
self.elems = self.getOnestep(step)
elems_ = {k: v.copy() for k, v in self.elems.items()}
for p_data in elems_["P"]:
# P原子に最も近い4つのI原子を特定
i_diffs = elems_["I"][:, 0:3] - p_data[0:3]
i_diffs = i_diffs - np.around(i_diffs)
i_diffs_abs = i_diffs @ self.M
distances = np.linalg.norm(i_diffs_abs, axis=1)
sorted_indices = np.argsort(distances)
closest_Is = elems_["I"][sorted_indices[:4]]
closer_Is = elems_["I"][sorted_indices[:15]]
nearest_I_coords = closest_Is[0]
# 着目P原子と同じPS4を構成するS原子を取得
s_data = elems_["S"][elems_["S"][:, 3] == p_data[3]]
# --- 距離によるSの配置決定 ---
si_diff = s_data[:, 0:3] - nearest_I_coords[0:3]
si_diff = si_diff - np.around(si_diff)
si_diff = np.linalg.norm(si_diff @ self.M, axis=1)
n_S_idx = np.argmax(si_diff)
s_indices = [0, 1, 2, 3]
s_indices.remove(n_S_idx)
n2_S_idx = s_indices[0]
s_xyz = s_data[:, 0:3] - p_data[0:3]
s_xyz = s_xyz - np.round(s_xyz)
s_xyz = s_xyz @ self.M
# --- 座標の回転行列を作成 ---
theta = np.arctan2(s_xyz[n_S_idx][0], s_xyz[n_S_idx][1])
self.Mat_z = np.array([[np.cos(-theta), np.sin(-theta), 0],
[-np.sin(-theta), np.cos(-theta), 0],
[0, 0, 1]])
s_xyz = (self.Mat_z @ s_xyz.T).T
theta2 = np.arctan2(s_xyz[n_S_idx][1], s_xyz[n_S_idx][2])
self.Mat_x = np.array([[1, 0, 0],
[0, np.cos(-theta2), np.sin(-theta2)],
[0, -np.sin(-theta2), np.cos(-theta2)]])
s_xyz = (self.Mat_x @ s_xyz.T).T
theta3 = np.arctan2(s_xyz[n2_S_idx][0], s_xyz[n2_S_idx][1])
self.Mat_z2 = np.array([[np.cos(-theta3), np.sin(-theta3), 0],
[-np.sin(-theta3), np.cos(-theta3), 0],
[0, 0, 1]])
s_xyz = (self.Mat_z2 @ s_xyz.T).T
self.s_xyz = s_xyz
p_xyz = np.array([0, 0, 0])
self.ps4_coord = np.vstack((p_xyz, s_xyz)) / ang_borr
def rotate_coords(coords_fractional):
if len(coords_fractional) == 0:
return np.array([])
rot_xyz = coords_fractional[:, 0:3] - p_data[0:3]
rot_xyz = rot_xyz - np.round(rot_xyz)
rot_xyz = rot_xyz @ self.M
rot_xyz = (self.Mat_z @ rot_xyz.T).T
rot_xyz = (self.Mat_x @ rot_xyz.T).T
rot_xyz = (self.Mat_z2 @ rot_xyz.T).T
return rot_xyz
# --- I原子のEdge/Corner判定と振り分け ---
zero_Is = []
edge_Is = []
corner_Is = []
three_Is = []
other_Is = []
for i_coord in closer_Is:
diff_si = s_data[:, 0:3] - i_coord[0:3]
diff_si = diff_si - np.around(diff_si)
diff_si_abs = diff_si @ self.M
dists = np.linalg.norm(diff_si_abs, axis=1)
# 距離がCUTOFF以下のS原子の数をカウント
close_S_count = np.sum(dists <= I_S_CUTOFF)
if close_S_count == 0:
zero_Is.append(i_coord)
elif close_S_count == 1:
corner_Is.append(i_coord)
elif close_S_count == 2:
edge_Is.append(i_coord)
elif close_S_count == 3:
three_Is.append(i_coord)
elif close_S_count > 3:
other_Is.append(i_coord)
# 判定結果に基づいてそれぞれのリストに追加
if len(zero_Is) > 0:
self.i_zero_coords_list.extend(
rotate_coords(np.array(zero_Is)).tolist())
if len(edge_Is) > 0:
self.i_edge_coords_list.extend(
rotate_coords(np.array(edge_Is)).tolist())
if len(corner_Is) > 0:
self.i_corner_coords_list.extend(
rotate_coords(np.array(corner_Is)).tolist())
if len(three_Is) > 0:
self.i_three_coords_list.extend(
rotate_coords(np.array(three_Is)).tolist())
# 全体のI用リストにも追加
self.i_coords_list.extend(rotate_coords(closest_Is).tolist())
count_p += 1
print("Calculating Histograms...")
volume = (self.cutoff*2)**3
bounds = [[-(self.cutoff)/ang_borr, (self.cutoff)/ang_borr]] * 3
# I (全体のI原子数で割ることで、Edge/Cornerの比率も反映させる)
total_I_num = len(self.i_coords_list)
if total_I_num > 0:
# I (All)
print("num_I_all: ", total_I_num)
i_arr = np.array(self.i_coords_list) / ang_borr
i_hist, _ = np.histogramdd(i_arr, bins=self.mesh, range=bounds)
self.i_hist = i_hist.ravel() / total_I_num / volume
# I (zero)
if len(self.i_zero_coords_list) > 0:
print("num_I_zero: ", len(self.i_zero_coords_list))
i_arr_zero = np.array(self.i_zero_coords_list) / ang_borr
i_hist_zero, _ = np.histogramdd(
i_arr_zero, bins=self.mesh, range=bounds)
self.i_hist_zero = i_hist_zero.ravel() / total_I_num / volume
# I (Corner)
if len(self.i_corner_coords_list) > 0:
print("num_I_corner: ", len(self.i_corner_coords_list))
i_arr_corner = np.array(self.i_corner_coords_list) / ang_borr
i_hist_corner, _ = np.histogramdd(
i_arr_corner, bins=self.mesh, range=bounds)
self.i_hist_corner = i_hist_corner.ravel() / total_I_num / volume
# I (Edge)
if len(self.i_edge_coords_list) > 0:
print("num_I_edge: ", len(self.i_edge_coords_list))
i_arr_edge = np.array(self.i_edge_coords_list) / ang_borr
i_hist_edge, _ = np.histogramdd(
i_arr_edge, bins=self.mesh, range=bounds)
self.i_hist_edge = i_hist_edge.ravel() / total_I_num / volume
# I (Three)
if len(self.i_three_coords_list) > 0:
print("num_I_three: ", len(self.i_three_coords_list))
i_arr_three = np.array(self.i_three_coords_list) / ang_borr
i_hist_three, _ = np.histogramdd(
i_arr_three, bins=self.mesh, range=bounds)
self.i_hist_three = i_hist_three.ravel() / total_I_num / volume
def outputCube(self):
output_start_time = time.time()
base = re.match(r"(\d{3}.*?LiI).*?",
args.trjfile.split("/")[-1]).group(1)
self.atomsDic = {'I': '53', 'Li': '3', 'P': '15', 'S': '16'}
def get_header():
body = f"created from {__file__}, {args}\n"
body += "Contains the selected quantity on a FFT grid\n"
origin = [-(self.cutoff)/ang_borr] * 3
body += "{:>5d}{:>12.7f}{:>12.7f}{:>12.7f}\n".format(5, *origin)
body += "{:>5d}{:>12.7f}{:>12.7f}{:>12.7f}\n".format(
self.mesh[0], (self.cutoff*2)/self.mesh[0]/ang_borr, 0, 0)
body += "{:>5d}{:>12.7f}{:>12.7f}{:>12.7f}\n".format(
self.mesh[1], 0, (self.cutoff*2)/self.mesh[1]/ang_borr, 0)
body += "{:>5d}{:>12.7f}{:>12.7f}{:>12.7f}\n".format(
self.mesh[2], 0, 0, (self.cutoff*2)/self.mesh[2]/ang_borr)
body += "{:>5d}{:>12.7f}{:>12.7f}{:>12.7f}{:>12.7f}\n".format(
int(self.atomsDic["P"]), float(self.atomsDic["P"]), *self.ps4_coord[0])
for s_coord in self.ps4_coord[1:5]:
body += "{:>5d}{:>12.7f}{:>12.7f}{:>12.7f}{:>12.7f}\n".format(
int(self.atomsDic["S"]), float(self.atomsDic["S"]), *s_coord)
return body
def save_cube(hist_data, suffix):
if hist_data is None:
return
body = get_header()
for idx, r in enumerate(hist_data):
if idx % 6 == 5:
body += "{:>13.5E}\n".format(r)
else:
body += "{:>13.5E}".format(r)
if idx % 6 != 5:
body += "\n" # 最後の行で改行がない場合用
outfile = f"{dirname}/{base}_PS4_{suffix}.cube"
with open(outfile, "w") as o:
o.write(body)
print(f"{outfile} was created.")
save_cube(self.li_hist, "Li")
save_cube(self.i_hist, "I_All")
save_cube(self.i_hist_zero, "I_zero")
save_cube(self.i_hist_corner, "I_corner")
save_cube(self.i_hist_edge, "I_edge")
save_cube(self.i_hist_three, "I_three")
output_end_time = time.time()
print(f"output_time : {output_end_time - output_start_time:.2f} s")
if __name__ == "__main__":
trj = LammpsTrj()
trj.makeCube(args.trjfile)
trj.outputCube()