W3/molsim hw3_Nisarg.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "basis_set = ['HF/STO-3G','HF/3-21G*','HF/6-21G**', 'B3LYP/3-21G*','B3LYP/6-21G**', 'B3LYP/DGDZVP']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['HF/STO-3G',\n",
       " 'HF/3-21G*',\n",
       " 'HF/6-21G**',\n",
       " 'B3LYP/3-21G*',\n",
       " 'B3LYP/6-21G**',\n",
       " 'B3LYP/DGDZVP']"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "basis_set"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "time=[5.7, 4.5, 5.3, 3.7, 3.2, 3.8]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<BarContainer object of 6 artists>"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(8, 10))\n",
    "plt.bar(basis_set,time)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "from PIL import Image"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "img = Image.open('/Users/nisargjoshi/Desktop/energy.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<PIL.PngImagePlugin.PngImageFile image mode=RGBA size=450x200 at 0x1047A6CF8>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "img"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}