diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..7ce23c3
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,6 @@
+# Python
+__pycache__/
+*.py[cod]
+*$py.class
+*.so
+.Python
diff --git a/README.md b/README.md
index 55a5779..a56fc8c 100644
--- a/README.md
+++ b/README.md
@@ -4,6 +4,7 @@ Pre- and post-processing tools for phonon-based calculations.
- [**phonchar**](https://github.com/acammarat/phtools/tree/main/phonchar) Calculates the atomic character of phonon eigenvectors obtained from [PHONOPY](https://phonopy.github.io/phonopy)
- [**eigmap**](https://github.com/acammarat/phtools/tree/main/eigmap) Calculates the map between different eigenvectors via scalar products
- [**qpoints**](https://github.com/acammarat/phtools/tree/main/qpoints) Extracts phonon eigenvectors and eigenvalues from the file qpoints.yaml generated by [PHONOPY]( https://phonopy.github.io/phonopy)
+- [**avgpos**](https://github.com/acammarat/phtools/tree/main/var/avgpos) Calculates the average position and standard deviation of selected atoms along a crystallographic direction from a POSCAR file
## Citation
When using these tools, please cite the scientific publications as suggested in the relative README.md file.
diff --git a/var/avgpos/LICENSE b/var/avgpos/LICENSE
new file mode 100644
index 0000000..f288702
--- /dev/null
+++ b/var/avgpos/LICENSE
@@ -0,0 +1,674 @@
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+APPLICABLE LAW. EXCEPT WHEN OTHERWISE STATED IN WRITING THE COPYRIGHT
+HOLDERS AND/OR OTHER PARTIES PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY
+OF ANY KIND, EITHER EXPRESSED OR IMPLIED, INCLUDING, BUT NOT LIMITED TO,
+THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+PURPOSE. THE ENTIRE RISK AS TO THE QUALITY AND PERFORMANCE OF THE PROGRAM
+IS WITH YOU. SHOULD THE PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF
+ALL NECESSARY SERVICING, REPAIR OR CORRECTION.
+
+ 16. Limitation of Liability.
+
+ IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
+WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MODIFIES AND/OR CONVEYS
+THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES, INCLUDING ANY
+GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING OUT OF THE
+USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED TO LOSS OF
+DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY YOU OR THIRD
+PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER PROGRAMS),
+EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE POSSIBILITY OF
+SUCH DAMAGES.
+
+ 17. Interpretation of Sections 15 and 16.
+
+ If the disclaimer of warranty and limitation of liability provided
+above cannot be given local legal effect according to their terms,
+reviewing courts shall apply local law that most closely approximates
+an absolute waiver of all civil liability in connection with the
+Program, unless a warranty or assumption of liability accompanies a
+copy of the Program in return for a fee.
+
+ END OF TERMS AND CONDITIONS
+
+ How to Apply These Terms to Your New Programs
+
+ If you develop a new program, and you want it to be of the greatest
+possible use to the public, the best way to achieve this is to make it
+free software which everyone can redistribute and change under these terms.
+
+ To do so, attach the following notices to the program. It is safest
+to attach them to the start of each source file to most effectively
+state the exclusion of warranty; and each file should have at least
+the "copyright" line and a pointer to where the full notice is found.
+
+
+ Copyright (C)
+
+ This program is free software: you can redistribute it and/or modify
+ it under the terms of the GNU General Public License as published by
+ the Free Software Foundation, either version 3 of the License, or
+ (at your option) any later version.
+
+ This program is distributed in the hope that it will be useful,
+ but WITHOUT ANY WARRANTY; without even the implied warranty of
+ MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
+ GNU General Public License for more details.
+
+ You should have received a copy of the GNU General Public License
+ along with this program. If not, see .
+
+Also add information on how to contact you by electronic and paper mail.
+
+ If the program does terminal interaction, make it output a short
+notice like this when it starts in an interactive mode:
+
+ Copyright (C)
+ This program comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
+ This is free software, and you are welcome to redistribute it
+ under certain conditions; type `show c' for details.
+
+The hypothetical commands `show w' and `show c' should show the appropriate
+parts of the General Public License. Of course, your program's commands
+might be different; for a GUI interface, you would use an "about box".
+
+ You should also get your employer (if you work as a programmer) or school,
+if any, to sign a "copyright disclaimer" for the program, if necessary.
+For more information on this, and how to apply and follow the GNU GPL, see
+.
+
+ The GNU General Public License does not permit incorporating your program
+into proprietary programs. If your program is a subroutine library, you
+may consider it more useful to permit linking proprietary applications with
+the library. If this is what you want to do, use the GNU Lesser General
+Public License instead of this License. But first, please read
+.
diff --git a/var/avgpos/README.md b/var/avgpos/README.md
new file mode 100644
index 0000000..aefa7b6
--- /dev/null
+++ b/var/avgpos/README.md
@@ -0,0 +1,200 @@
+# avgpos
+
+A tool to calculate the average position and standard deviation of selected atoms along a specified crystallographic direction from a POSCAR file.
+
+## Features
+
+- Read POSCAR files (VASP structure format)
+- Select atoms by element type or by indices
+- Calculate average position along:
+ - Cartesian directions (x, y, z)
+ - Crystallographic lattice vectors (a, b, c)
+ - Custom Miller indices [h,k,l]
+- Calculate standard deviation of positions
+- Display individual atomic positions along the selected direction
+- **NEW:** Calculate and export orthogonal projections onto a plane perpendicular to the direction vector
+
+## Requirements
+
+- Python 3.6 or higher
+- NumPy
+- Matplotlib (for generating heatmap visualizations)
+- SciPy (for interpolation in smooth heatmaps)
+
+## Installation
+
+No installation required. Simply make the script executable:
+
+```bash
+chmod +x avgpos.py
+```
+
+Or run it with Python:
+
+```bash
+python3 avgpos.py
+```
+
+## Usage
+
+### Basic syntax
+
+```bash
+./avgpos.py POSCAR -s -d
+./avgpos.py POSCAR -i -d
+```
+
+### Options
+
+- `POSCAR`: Path to the POSCAR file (required)
+- `-s, --select`: Select atoms by element symbol(s), comma-separated (e.g., "Se" or "W,Mo")
+- `-i, --indices`: Select atoms by indices (1-based), comma-separated (e.g., "1,2,3")
+- `-d, --direction`: Direction specification (required):
+ - Cartesian: `x`, `y`, `z`
+ - Lattice vectors: `a`, `b`, `c`
+ - Miller indices: `[h,k,l]` (e.g., `[1,1,0]`)
+- `-o, --output`: Output file for plane projection data (optional)
+- `--plot`: Generate Python matplotlib script for heatmap visualization (requires `-o`)
+- `--labels`: Include atom labels (element+ID, e.g., Se2, Ti4) in output and plot (requires `-o`)
+- `--replicate`: Replicate the plot along e and f axes (format: "ne,nf", default: "1,1")
+ - Supports non-integer replication (e.g., "2.5,3" for 2.5x3 replication)
+- `--no-circles`: Hide circles representing atom positions in the plot (only effective when `--labels` is not used)
+
+### Examples
+
+Calculate average position of all Se atoms along the z-axis:
+```bash
+./avgpos.py POSCAR -s Se -d z
+```
+
+Calculate average position of atoms 2, 3, and 4 along the c lattice vector:
+```bash
+./avgpos.py POSCAR -i 2,3,4 -d c
+```
+
+Calculate average position of W and Mo atoms along the [1,1,0] direction:
+```bash
+./avgpos.py POSCAR -s W,Mo -d [1,1,0]
+```
+
+Calculate average position of all atoms of multiple elements along x-axis:
+```bash
+./avgpos.py POSCAR -s Se,Mo -d x
+```
+
+Calculate average position and export plane projection data:
+```bash
+./avgpos.py POSCAR -s Se -d z -o projections.dat
+```
+
+Calculate average position and generate matplotlib heatmap script:
+```bash
+./avgpos.py POSCAR -s Se -d z -o projections.dat --plot
+# Then run: python3 projections_plot.py
+```
+
+Calculate average position with atom labels and generate labeled heatmap:
+```bash
+./avgpos.py POSCAR -s Se -d z -o projections.dat --plot --labels
+# Then run: python3 projections_plot.py
+# Labels will show atom type and POSCAR file ID (e.g., Se2, Se3, Ti1)
+```
+
+Generate heatmap with 2.5x3 replication along e and f axes:
+```bash
+./avgpos.py POSCAR -s Se -d z -o projections.dat --plot --replicate 2.5,3
+# Then run: python3 projections_plot.py
+# Plot will show 2.5 replications along e-axis and 3 along f-axis
+```
+
+Generate smooth heatmap without atom position circles:
+```bash
+./avgpos.py POSCAR -s Se -d z -o projections.dat --plot --no-circles
+# Then run: python3 projections_plot.py
+# Plot will show only the smooth interpolated surface without circles
+```
+
+## Output
+
+### Standard Output
+
+The tool displays:
+- Structure information (number and types of atoms)
+- Selected atoms
+- Direction vector in Cartesian coordinates
+- Average position along the direction (in Ångströms)
+- Standard deviation (in Ångströms)
+- Individual atomic positions (if 20 or fewer atoms are selected)
+
+### Plane Projection Output File (optional)
+
+When the `-o` option is specified, the tool generates a data file containing:
+- **Column 1 (e)**: First coordinate of the atom's orthogonal projection onto the plane
+- **Column 2 (f)**: Second coordinate of the atom's orthogonal projection onto the plane
+- **Column 3 (g)**: Signed distance from the plane (average_position - atom_distance_along_direction)
+- **Column 4 (label)**: Atom label with element type and unique ID (e.g., Ti1, O2) - only when `--labels` is used
+
+The plane is perpendicular to the specified direction vector and passes through the calculated average position. The e and f coordinates form an orthonormal 2D coordinate system in the plane.
+
+### Matplotlib Plotting Script (optional)
+
+When the `--plot` flag is used along with `-o`, the tool generates a Python script using matplotlib that creates a smooth interpolated heatmap visualization of the plane projection data:
+- **Script file**: Named as `_plot.py`
+- **Output image**: Named as `_heatmap.png`
+- The heatmap uses Radial Basis Function (RBF) interpolation to create a smooth surface covering the entire e,f range
+- g values are represented by a color gradient (coolwarm colormap)
+- Original data points are overlaid as black dots for reference
+- When `--labels` is also used, atom labels (element+POSCAR file ID) are annotated on the plot
+- To generate the plot, run: `python3 `
+
+**Requirements**: Matplotlib and SciPy must be installed on your system to generate the visualization.
+
+## Example Output
+
+```
+Reading POSCAR file: POSCAR
+Structure contains 6 atoms:
+ W: 1
+ Se: 4
+ Mo: 1
+
+Selected 4 atom(s) of type: Se
+Direction vector (Cartesian): [0.000000, 0.000000, 1.000000]
+
+============================================================
+RESULTS
+============================================================
+Number of atoms: 4
+Average position: 35.123456 Å
+Standard deviation: 2.345678 Å
+
+Individual positions along direction:
+ Atom 2: 38.343795 Å
+ Atom 3: 28.534648 Å
+ Atom 4: 31.870770 Å
+ Atom 5: 35.012611 Å
+```
+
+## POSCAR File Format
+
+The tool supports standard VASP POSCAR format with:
+- Comment line
+- Scale factor (preferably 1.0)
+- Lattice vectors (3 lines)
+- Element symbols
+- Atom counts per element
+- Coordinate type (Direct/Cartesian)
+- Atomic positions
+
+Both Direct (fractional) and Cartesian coordinates are supported.
+
+## License
+
+This program is free software: you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation, either version 3 of the License, or
+(at your option) any later version.
+
+## Author
+
+Part of the phtools collection: https://github.com/acammarat/phtools
diff --git a/var/avgpos/avgpos.py b/var/avgpos/avgpos.py
new file mode 100755
index 0000000..b446808
--- /dev/null
+++ b/var/avgpos/avgpos.py
@@ -0,0 +1,654 @@
+#!/usr/bin/env python3
+"""
+avgpos - Calculate average position and standard deviation of selected atoms
+along a crystallographic direction from a POSCAR file.
+
+Copyright (C) 2025
+This file is part of phtools.
+
+This program is free software: you can redistribute it and/or modify
+it under the terms of the GNU General Public License as published by
+the Free Software Foundation, either version 3 of the License, or
+(at your option) any later version.
+"""
+
+import sys
+import numpy as np
+import argparse
+
+
+def read_poscar(filename):
+ """
+ Read a POSCAR file and return atomic structure information.
+
+ Parameters:
+ -----------
+ filename : str
+ Path to the POSCAR file
+
+ Returns:
+ --------
+ dict : Dictionary containing structure information
+ - 'lattice': 3x3 numpy array with lattice vectors
+ - 'elements': list of element symbols
+ - 'atom_counts': list of atom counts per element
+ - 'positions': Nx3 numpy array with atomic positions
+ - 'coordinate_type': 'Direct' or 'Cartesian'
+ """
+ with open(filename, 'r') as f:
+ lines = f.readlines()
+
+ # Read comment line
+ comment = lines[0].strip()
+
+ # Read scale factor
+ scale = float(lines[1].strip())
+ if abs(scale - 1.0) > 1e-6:
+ print(f"Warning: Scale factor is {scale}, not 1.0. Applying scaling.")
+
+ # Read lattice vectors
+ lattice = np.zeros((3, 3))
+ for i in range(3):
+ lattice[i] = [float(x) for x in lines[2+i].split()]
+ lattice *= scale
+
+ # Read element symbols
+ elements = lines[5].split()
+
+ # Read atom counts
+ atom_counts = [int(x) for x in lines[6].split()]
+ total_atoms = sum(atom_counts)
+
+ # Check for selective dynamics
+ line_idx = 7
+ if lines[line_idx].strip()[0].upper() in ['S']:
+ line_idx += 1
+
+ # Read coordinate type
+ coord_type = lines[line_idx].strip()
+ coordinate_type = 'Direct' if coord_type[0].upper() in ['D'] else 'Cartesian'
+
+ # Read atomic positions
+ positions = np.zeros((total_atoms, 3))
+ for i in range(total_atoms):
+ pos_line = lines[line_idx + 1 + i].split()
+ positions[i] = [float(x) for x in pos_line[:3]]
+
+ # Convert direct coordinates to Cartesian if needed
+ if coordinate_type == 'Direct':
+ positions = np.dot(positions, lattice)
+
+ return {
+ 'lattice': lattice,
+ 'elements': elements,
+ 'atom_counts': atom_counts,
+ 'positions': positions,
+ 'coordinate_type': coordinate_type
+ }
+
+
+def select_atoms(structure, selection):
+ """
+ Select atoms based on element type or indices.
+
+ Parameters:
+ -----------
+ structure : dict
+ Structure dictionary from read_poscar
+ selection : str or list
+ Either element symbol(s) or atom indices (1-based)
+
+ Returns:
+ --------
+ numpy.ndarray : Indices of selected atoms (0-based)
+ """
+ if isinstance(selection, str):
+ # Selection by element
+ selected_indices = []
+ idx = 0
+ for i, element in enumerate(structure['elements']):
+ count = structure['atom_counts'][i]
+ if element in selection.split(','):
+ selected_indices.extend(range(idx, idx + count))
+ idx += count
+ return np.array(selected_indices)
+ else:
+ # Selection by indices (convert from 1-based to 0-based)
+ return np.array([i-1 for i in selection])
+
+
+def get_direction_vector(structure, direction):
+ """
+ Get the unit vector for the specified crystallographic direction.
+
+ Parameters:
+ -----------
+ structure : dict
+ Structure dictionary from read_poscar
+ direction : str
+ Direction specification: 'x', 'y', 'z', 'a', 'b', 'c', or custom [h,k,l]
+
+ Returns:
+ --------
+ numpy.ndarray : Unit vector in Cartesian coordinates
+ """
+ lattice = structure['lattice']
+
+ if direction.lower() == 'x':
+ return np.array([1.0, 0.0, 0.0])
+ elif direction.lower() == 'y':
+ return np.array([0.0, 1.0, 0.0])
+ elif direction.lower() == 'z':
+ return np.array([0.0, 0.0, 1.0])
+ elif direction.lower() == 'a':
+ vec = lattice[0]
+ elif direction.lower() == 'b':
+ vec = lattice[1]
+ elif direction.lower() == 'c':
+ vec = lattice[2]
+ else:
+ # Parse custom direction [h,k,l]
+ try:
+ direction = direction.strip('[]')
+ h, k, l = [float(x) for x in direction.split(',')]
+ # Convert Miller indices to Cartesian
+ vec = h * lattice[0] + k * lattice[1] + l * lattice[2]
+ except:
+ raise ValueError(f"Invalid direction specification: {direction}")
+
+ # Normalize to unit vector
+ return vec / np.linalg.norm(vec)
+
+
+def calculate_average_position(structure, atom_indices, direction_vector):
+ """
+ Calculate average position and standard deviation along a direction.
+
+ Parameters:
+ -----------
+ structure : dict
+ Structure dictionary from read_poscar
+ atom_indices : numpy.ndarray
+ Indices of atoms to include in calculation
+ direction_vector : numpy.ndarray
+ Unit vector defining the direction
+
+ Returns:
+ --------
+ tuple : (average, std_dev, positions_along_dir)
+ - average: mean position along the direction
+ - std_dev: standard deviation
+ - positions_along_dir: array of positions projected onto direction
+ """
+ positions = structure['positions'][atom_indices]
+
+ # Project positions onto the direction vector
+ positions_along_dir = np.dot(positions, direction_vector)
+
+ # Calculate statistics
+ average = np.mean(positions_along_dir)
+ std_dev = np.std(positions_along_dir)
+
+ return average, std_dev, positions_along_dir
+
+
+def get_atom_labels(structure, atom_indices):
+ """
+ Generate atom labels with element type and POSCAR file ID for selected atoms.
+
+ Parameters:
+ -----------
+ structure : dict
+ Structure dictionary from read_poscar
+ atom_indices : numpy.ndarray
+ Indices of atoms (0-based)
+
+ Returns:
+ --------
+ list : List of atom labels (e.g., ['Ti1', 'Ti2', 'O3', 'O4'])
+ where the number corresponds to the atom's position in the POSCAR file (1-based)
+ """
+ labels = []
+
+ # Create a mapping of atom index to element type
+ idx = 0
+ atom_to_element = []
+ for i, element in enumerate(structure['elements']):
+ count = structure['atom_counts'][i]
+ atom_to_element.extend([element] * count)
+ idx += count
+
+ # Use the POSCAR file index (1-based) as the atom ID
+ for atom_idx in atom_indices:
+ element = atom_to_element[atom_idx]
+ # atom_idx is 0-based, so add 1 to get POSCAR file position
+ labels.append(f"{element}{atom_idx + 1}")
+
+ return labels
+
+
+def generate_plot_script(data_file, script_file, output_image='heatmap.png', with_labels=False, replicate=(1, 1), no_circles=False):
+ """
+ Generate a Python script using matplotlib to plot the plane projection data as a heatmap.
+
+ Parameters:
+ -----------
+ data_file : str
+ Path to the data file containing projection data
+ script_file : str
+ Path where the Python plotting script will be written
+ output_image : str
+ Name of the output image file (default: 'heatmap.png')
+ with_labels : bool
+ Whether to include atom labels in the plot
+ replicate : tuple
+ Number of replications along e and f axes (ne, nf)
+ no_circles : bool
+ Whether to hide the circles representing atom positions (only when labels are not used)
+ """
+ script_content = f"""#!/usr/bin/env python3
+\"\"\"
+Matplotlib script to visualize plane projection data as a smooth interpolated heatmap.
+Generated automatically by avgpos tool.
+
+Usage: python3 {script_file}
+\"\"\"
+
+import numpy as np
+import matplotlib.pyplot as plt
+from matplotlib import cm
+from scipy.interpolate import Rbf
+from mpl_toolkits.axes_grid1 import make_axes_locatable
+
+# Read data from file
+data = np.loadtxt('{data_file}', dtype=str)
+
+# Extract coordinates and g values
+e_orig = data[:, 0].astype(float)
+f_orig = data[:, 1].astype(float)
+g_orig = data[:, 2].astype(float)
+
+# Extract labels if present (4th column)
+has_labels = data.shape[1] > 3
+if has_labels:
+ labels_orig = data[:, 3]
+
+# Replication parameters
+ne_rep, nf_rep = {replicate[0]}, {replicate[1]}
+
+# Replicate data along e and f axes
+e_list, f_list, g_list, labels_list = [], [], [], []
+e_range_orig = e_orig.max() - e_orig.min() if len(e_orig) > 1 else 1.0
+f_range_orig = f_orig.max() - f_orig.min() if len(f_orig) > 1 else 1.0
+
+# Determine how many full and partial replications to make
+ne_full = int(np.ceil(ne_rep))
+nf_full = int(np.ceil(nf_rep))
+
+for ie in range(ne_full):
+ for jf in range(nf_full):
+ # Calculate if this replica is fully or partially included
+ e_factor = min(1.0, ne_rep - ie) if ie < ne_full - 1 else (ne_rep - ie)
+ f_factor = min(1.0, nf_rep - jf) if jf < nf_full - 1 else (nf_rep - jf)
+
+ # Include this replica if it has non-zero contribution
+ if e_factor > 0 and f_factor > 0:
+ e_shift = ie * (e_range_orig + (e_orig.max() - e_orig.min()))
+ f_shift = jf * (f_range_orig + (f_orig.max() - f_orig.min()))
+ e_list.append(e_orig + e_shift)
+ f_list.append(f_orig + f_shift)
+ g_list.append(g_orig)
+ if has_labels:
+ labels_list.append(labels_orig)
+
+e = np.concatenate(e_list)
+f = np.concatenate(f_list)
+g = np.concatenate(g_list)
+if has_labels:
+ labels = np.concatenate(labels_list)
+
+# Create a regular grid for interpolation
+# Determine the range of e and f
+e_min, e_max = e.min(), e.max()
+f_min, f_max = f.min(), f.max()
+
+e_grid = np.linspace(e_min, e_max, 200)
+f_grid = np.linspace(f_min, f_max, 200)
+e_mesh, f_mesh = np.meshgrid(e_grid, f_grid)
+
+# Use Radial Basis Function interpolation with very small smoothing
+# This ensures interpolation passes extremely close to data points while handling duplicates
+# smooth value is set to a tiny value to get nearly exact values at data points
+try:
+ rbf = Rbf(e, f, g, function='thin_plate', smooth=1e-10)
+ g_interp = rbf(e_mesh, f_mesh)
+except:
+ # Fall back to multiquadric if thin_plate fails
+ try:
+ rbf = Rbf(e, f, g, function='multiquadric', smooth=1e-10)
+ g_interp = rbf(e_mesh, f_mesh)
+ except:
+ # Last resort: use linear with small smoothing
+ rbf = Rbf(e, f, g, function='linear', smooth=1e-8)
+ g_interp = rbf(e_mesh, f_mesh)
+
+# Determine color range from actual data values (not interpolated)
+vmin, vmax = g.min(), g.max()
+
+# Create figure and axis
+fig, ax = plt.subplots(figsize=(10, 8))
+
+# Create smooth heatmap using pcolormesh with RGB gradient (jet colormap)
+# Use the same vmin/vmax as the scatter plot for consistent colors
+heatmap = ax.pcolormesh(e_mesh, f_mesh, g_interp, cmap='jet', shading='auto', vmin=vmin, vmax=vmax)
+"""
+
+ # Add scatter points conditionally
+ if with_labels or not no_circles:
+ script_content += f"""
+# Overlay the original data points with their EXACT g values colored
+# This ensures atomic positions correspond to the real g value from the data file
+scatter = ax.scatter(e, f, c=g, cmap='jet', s=150, edgecolors='black', linewidths=2, zorder=10, vmin=vmin, vmax=vmax)
+"""
+
+ script_content += f"""
+# Add colorbar with height matching the plot
+divider = make_axes_locatable(ax)
+cax = divider.append_axes("right", size="5%", pad=0.1)
+cbar = plt.colorbar(heatmap, cax=cax)
+cbar.set_label('Distance from plane (Å)', fontsize=12)
+
+# Set axis labels with units
+ax.set_xlabel('x (Å)', fontsize=12)
+ax.set_ylabel('y (Å)', fontsize=12)
+"""
+
+ if with_labels:
+ script_content += f"""
+# Add atom labels (already replicated above if needed)
+if has_labels:
+ for i in range(len(e)):
+ ax.annotate(labels[i], (e[i], f[i]),
+ xytext=(5, 5), textcoords='offset points',
+ fontsize=10, fontweight='bold', color='black',
+ bbox=dict(boxstyle='round,pad=0.3', facecolor='white', edgecolor='black', alpha=0.7))
+"""
+
+ script_content += f"""
+# Add grid
+ax.grid(True, alpha=0.3)
+
+# Set equal aspect ratio
+ax.set_aspect('equal', adjustable='box')
+
+# Save figure
+plt.tight_layout()
+plt.savefig('{output_image}', dpi=150, bbox_inches='tight')
+print(f"Plot saved to {output_image}")
+
+# Optionally display the plot (comment out if running headless)
+# plt.show()
+"""
+
+ with open(script_file, 'w') as f:
+ f.write(script_content)
+
+ # Make the script executable (Unix-like systems)
+ import os
+ try:
+ os.chmod(script_file, 0o755)
+ except:
+ pass # Ignore if chmod fails (e.g., on Windows)
+
+
+def calculate_plane_projections(structure, atom_indices, direction_vector, average_position):
+ """
+ Calculate orthogonal projections of atoms onto a plane perpendicular to
+ the direction vector and passing through the average position.
+
+ Parameters:
+ -----------
+ structure : dict
+ Structure dictionary from read_poscar
+ atom_indices : numpy.ndarray
+ Indices of atoms to include in calculation
+ direction_vector : numpy.ndarray
+ Unit vector defining the direction (normal to the plane)
+ average_position : float
+ Average position along the direction (defines plane location)
+
+ Returns:
+ --------
+ numpy.ndarray : Nx3 array where each row contains [e, f, g]
+ - e, f: 2D coordinates of the projection on the plane
+ - g: average_position minus the distance of the atom from the plane
+ """
+ positions = structure['positions'][atom_indices]
+
+ # Calculate the distance of each atom along the direction vector
+ distances_along_dir = np.dot(positions, direction_vector)
+
+ # Calculate the signed distance from each atom to the plane
+ # (positive if atom is on the side of the direction vector, negative otherwise)
+ signed_distances = distances_along_dir - average_position
+
+ # Project each atom onto the plane
+ # projection = position - (signed_distance * normal_vector)
+ projections_3d = positions - np.outer(signed_distances, direction_vector)
+
+ # Create an orthonormal basis for the plane
+ # Find two orthogonal vectors in the plane
+ # Start with an arbitrary vector not parallel to direction_vector
+ if abs(direction_vector[2]) < 0.9:
+ arbitrary = np.array([0.0, 0.0, 1.0])
+ else:
+ arbitrary = np.array([1.0, 0.0, 0.0])
+
+ # First basis vector in the plane (orthogonal to direction_vector)
+ basis1 = arbitrary - np.dot(arbitrary, direction_vector) * direction_vector
+ basis1 = basis1 / np.linalg.norm(basis1)
+
+ # Second basis vector (orthogonal to both direction_vector and basis1)
+ basis2 = np.cross(direction_vector, basis1)
+ basis2 = basis2 / np.linalg.norm(basis2)
+
+ # Project the 3D projections onto the 2D plane coordinate system
+ e_coords = np.dot(projections_3d, basis1)
+ f_coords = np.dot(projections_3d, basis2)
+
+ # Calculate g = average_position - distance_from_plane
+ # The distance from the plane is the absolute value of signed_distances
+ # But we want: average_position - distance_of_atom_from_plane
+ # Since distance_along_dir = average_position + signed_distance
+ # we have: g = average_position - abs(signed_distance) if we want actual distance
+ # But the requirement says: "average_position minus the distance of the atom from the plane"
+ # which could mean: average_position - distance_along_dir = -signed_distances
+ g_coords = -signed_distances
+
+ # Combine into Nx3 array
+ result = np.column_stack((e_coords, f_coords, g_coords))
+
+ return result
+
+
+def main():
+ parser = argparse.ArgumentParser(
+ description='Calculate average position and standard deviation of selected atoms '
+ 'along a crystallographic direction from a POSCAR file.',
+ formatter_class=argparse.RawDescriptionHelpFormatter,
+ epilog="""
+Examples:
+ # Average position of all Se atoms along z-axis
+ %(prog)s POSCAR -s Se -d z
+
+ # Average position of atoms 2,3,4 along c lattice vector
+ %(prog)s POSCAR -i 2,3,4 -d c
+
+ # Average position along custom direction [1,1,0]
+ %(prog)s POSCAR -s W,Mo -d [1,1,0]
+ """
+ )
+
+ parser.add_argument('poscar', help='Path to POSCAR file')
+ parser.add_argument('-s', '--select', type=str,
+ help='Select atoms by element symbol(s), comma-separated (e.g., "Se" or "W,Mo")')
+ parser.add_argument('-i', '--indices', type=str,
+ help='Select atoms by indices (1-based), comma-separated (e.g., "1,2,3")')
+ parser.add_argument('-d', '--direction', type=str, required=True,
+ help='Direction: x, y, z (Cartesian) or a, b, c (lattice vectors) '
+ 'or [h,k,l] (Miller indices)')
+ parser.add_argument('-o', '--output', type=str,
+ help='Output file for plane projection data (3 columns: e, f, g)')
+ parser.add_argument('--plot', action='store_true',
+ help='Generate Python matplotlib script for heatmap visualization (requires -o)')
+ parser.add_argument('--labels', action='store_true',
+ help='Include atom labels (element+ID) in output and plot (requires -o)')
+ parser.add_argument('--replicate', type=str, default='1,1',
+ help='Replicate the plot along e and f axes (format: "ne,nf", e.g., "2.5,3" for 2.5x3 replication)')
+ parser.add_argument('--no-circles', action='store_true',
+ help='Hide circles representing atom positions in the plot (only when --labels is not used)')
+
+ args = parser.parse_args()
+
+ # Validate input
+ if not args.select and not args.indices:
+ parser.error("Must specify either --select or --indices")
+ if args.select and args.indices:
+ parser.error("Cannot specify both --select and --indices")
+
+ # Read POSCAR file
+ print(f"Reading POSCAR file: {args.poscar}")
+ try:
+ structure = read_poscar(args.poscar)
+ except Exception as e:
+ print(f"Error reading POSCAR file: {e}")
+ sys.exit(1)
+
+ # Print structure information
+ total_atoms = sum(structure['atom_counts'])
+ print(f"Structure contains {total_atoms} atoms:")
+ for elem, count in zip(structure['elements'], structure['atom_counts']):
+ print(f" {elem}: {count}")
+ print()
+
+ # Select atoms
+ if args.select:
+ atom_indices = select_atoms(structure, args.select)
+ print(f"Selected {len(atom_indices)} atom(s) of type: {args.select}")
+ else:
+ indices = [int(x) for x in args.indices.split(',')]
+ atom_indices = select_atoms(structure, indices)
+ print(f"Selected {len(atom_indices)} atom(s) by indices: {args.indices}")
+
+ if len(atom_indices) == 0:
+ print("Error: No atoms selected!")
+ sys.exit(1)
+
+ # Get direction vector
+ try:
+ direction_vector = get_direction_vector(structure, args.direction)
+ print(f"Direction vector (Cartesian): [{direction_vector[0]:.6f}, "
+ f"{direction_vector[1]:.6f}, {direction_vector[2]:.6f}]")
+ except Exception as e:
+ print(f"Error parsing direction: {e}")
+ sys.exit(1)
+
+ # Calculate average position
+ average, std_dev, positions = calculate_average_position(
+ structure, atom_indices, direction_vector
+ )
+
+ # Print results
+ print()
+ print("=" * 60)
+ print("RESULTS")
+ print("=" * 60)
+ print(f"Number of atoms: {len(atom_indices)}")
+ print(f"Average position: {average:.6f} Å")
+ print(f"Standard deviation: {std_dev:.6f} Å")
+ print()
+
+ # Print individual positions if not too many
+ if len(atom_indices) <= 20:
+ print("Individual positions along direction:")
+ for i, (idx, pos) in enumerate(zip(atom_indices, positions)):
+ print(f" Atom {idx+1}: {pos:.6f} Å")
+
+ # Calculate and write plane projections if output file is specified
+ if args.output:
+ projections = calculate_plane_projections(
+ structure, atom_indices, direction_vector, average
+ )
+
+ # Get atom labels if requested
+ if args.labels:
+ labels = get_atom_labels(structure, atom_indices)
+ # Create a combined array with projections and labels
+ # Save with labels as 4th column
+ with open(args.output, 'w') as f:
+ f.write('# e f g label\n')
+ f.write('# Projections onto plane perpendicular to direction vector\n')
+ f.write('# e, f: 2D coordinates on plane\n')
+ f.write('# g: average_position - distance_from_plane\n')
+ f.write('# label: atom type and ID (e.g., Ti1, O2)\n')
+ for i, label in enumerate(labels):
+ f.write(f"{projections[i, 0]:.6f} {projections[i, 1]:.6f} {projections[i, 2]:.6f} {label}\n")
+
+ print()
+ print(f"Plane projection data with labels written to: {args.output}")
+ print(f" Columns: e, f, g, label")
+ else:
+ # Write to file without labels
+ np.savetxt(args.output, projections, fmt='%.6f',
+ header='e f g\nProjections onto plane perpendicular to direction vector\n'
+ 'e, f: 2D coordinates on plane\n'
+ 'g: average_position - distance_from_plane',
+ comments='# ')
+
+ print()
+ print(f"Plane projection data written to: {args.output}")
+ print(f" Columns: e, f, g")
+
+ print(f" e, f: 2D coordinates of atom projection on plane")
+ print(f" g: signed distance from plane (average_position - atom_distance)")
+
+ # Generate matplotlib plot script if requested
+ if args.plot:
+ import os
+ # Determine output paths
+ base_name = os.path.splitext(args.output)[0]
+ script_file = f"{base_name}_plot.py"
+ image_file = f"{base_name}_heatmap.png"
+
+ # Parse replication argument
+ try:
+ replicate_parts = args.replicate.split(',')
+ ne_rep = float(replicate_parts[0])
+ nf_rep = float(replicate_parts[1]) if len(replicate_parts) > 1 else ne_rep
+ replicate = (ne_rep, nf_rep)
+ except (ValueError, IndexError):
+ print(f"Warning: Invalid replicate format '{args.replicate}'. Using default 1,1")
+ replicate = (1, 1)
+
+ # Generate the plotting script
+ generate_plot_script(args.output, script_file, image_file, args.labels, replicate, args.no_circles)
+
+ print()
+ print(f"Matplotlib plotting script generated: {script_file}")
+ print(f"To create the heatmap, run: python3 {script_file}")
+ print(f"Output image will be: {image_file}")
+ if args.labels:
+ print(f" (with atom labels)")
+ if replicate != (1, 1):
+ print(f" (with {replicate[0]}x{replicate[1]} replication)")
+ if args.no_circles and not args.labels:
+ print(f" (without atom position circles)")
+ elif args.plot or args.labels:
+ print()
+ print("Warning: --plot and --labels flags require -o/--output to be specified. Ignoring.")
+
+ return 0
+
+
+if __name__ == '__main__':
+ sys.exit(main())
diff --git a/var/avgpos/example/POSCAR b/var/avgpos/example/POSCAR
new file mode 100644
index 0000000..a426e37
--- /dev/null
+++ b/var/avgpos/example/POSCAR
@@ -0,0 +1,14 @@
+generated by phonopy
+ 1.0
+ 3.3233430609575230 0.0000000000000000 0.0000000000000000
+ -1.6616715304787615 2.8780995162799510 0.0000000000000000
+ 0.0000000000000000 0.0000000000000000 39.9999999116339637
+W Se Mo
+ 1 4 1
+Direct
+ 0.6666666666666666 0.3333333333333333 0.7551042030166925
+ 0.6666666666666666 0.3333333333333333 0.9585948483162808
+ 0.0000000000000000 0.0000000000000000 0.7133714496651961
+ 0.0000000000000000 0.0000000000000000 0.7967692408998203
+ 0.6666666666666666 0.3333333333333333 0.8752886384852373
+ 0.0000000000000000 0.0000000000000000 0.9169322639868226
diff --git a/var/avgpos/example/example.sh b/var/avgpos/example/example.sh
new file mode 100755
index 0000000..4ce9dbc
--- /dev/null
+++ b/var/avgpos/example/example.sh
@@ -0,0 +1,17 @@
+#!/bin/bash
+# Example usage of avgpos tool
+
+echo "====== Example 1: Average position of Se atoms along z-axis ======"
+python3 ../avgpos.py POSCAR -s Se -d z
+
+echo ""
+echo "====== Example 2: Average position of atoms 2,3,4 along c lattice vector ======"
+python3 ../avgpos.py POSCAR -i 2,3,4 -d c
+
+echo ""
+echo "====== Example 3: Average position of W and Mo atoms along [1,1,0] direction ======"
+python3 ../avgpos.py POSCAR -s W,Mo -d "[1,1,0]"
+
+echo ""
+echo "====== Example 4: Average position of all Se atoms along x-axis ======"
+python3 ../avgpos.py POSCAR -s Se -d x
diff --git a/var/avgpos/requirements.txt b/var/avgpos/requirements.txt
new file mode 100644
index 0000000..db4d647
--- /dev/null
+++ b/var/avgpos/requirements.txt
@@ -0,0 +1,3 @@
+numpy>=1.19.0
+matplotlib>=3.0.0
+scipy>=1.5.0