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        <title>CP2K Open Source Molecular Dynamics  - exercises:common</title>
        <description></description>
        <link>https://www.cp2k.org/</link>
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       <dc:date>2026-05-01T17:19:59+00:00</dc:date>
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        <title>CP2K Open Source Molecular Dynamics </title>
        <link>https://www.cp2k.org/</link>
        <url>https://www.cp2k.org/_media/wiki:logo.png</url>
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    <item rdf:about="https://www.cp2k.org/exercises:common:aimd?rev=1667306668&amp;do=diff">
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        <dc:date>2022-11-01T12:44:28+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>aimd</title>
        <link>https://www.cp2k.org/exercises:common:aimd?rev=1667306668&amp;do=diff</link>
        <description>Ab-initio molecular dynamics

Introduction

Finite temperature molecular dynamics simulation methods that are driven by the forces obtained “on-the-fly” with an electronic structure theory such as density functional theory are so-called ab-initio molecular dynamics (AIMD).
With the pioneering contributions of Roberto Car and Michele Parrinello, the field of AIMD started and became a landmark of computational science. The \begin{equation}
{\displaystyle M_{I}{\ddot {\mathbf {R} }}_{I}=-\nabla _{I…</description>
    </item>
    <item rdf:about="https://www.cp2k.org/exercises:common:bs?rev=1673987970&amp;do=diff">
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        <dc:date>2023-01-17T20:39:30+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>bs</title>
        <link>https://www.cp2k.org/exercises:common:bs?rev=1673987970&amp;do=diff</link>
        <description>Band structure of WO$_3$ Lattice

In this exercise, we will carry out band structure calculation using K-point sampling for Cubic lattice WO$_3$. The reference DOS and band structure you can find in this paper


GGA


To get the band structure for , only a few changes are required compared to the previous example for $\Gamma$$M$$K$$a$$\Gamma$$X$$M$$R$$\Gamma$$X$$M$$\Gamma$$R$$M$$MATLAB$$GNUPLOT$</description>
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        <dc:date>2023-12-04T13:49:53+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>chg</title>
        <link>https://www.cp2k.org/exercises:common:chg?rev=1701697793&amp;do=diff</link>
        <description>Charge density difference analysis takes the difference between charge densities of the system of interest and a reference one and plots charge redistribution due to chemical bonds.

$\Delta \rho = \rho_{AB} - \rho_{A} - \rho_{B}$

where $\rho_{AB}$ is the total charge (or electron) density of the whole system, $\rho_{A}, \rho_{B}$$\Delta \rho (t-t_0) = \rho(t) - \rho(t_0)$$\rho(t)$$t$$\rho(t_0)$</description>
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        <dc:date>2022-09-08T12:46:12+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>code_structure</title>
        <link>https://www.cp2k.org/exercises:common:code_structure?rev=1662641172&amp;do=diff</link>
        <description>The input of CP2K is well-organized using the following structure. One can follow the CP2K Manual to tailor the input.

Each section is initialized by &amp;SECTION and closed by &amp;END SECTION. Within a SECTION, one has the freedom to give the PARAMETER to the KEYWORD</description>
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        <dc:date>2022-10-31T17:28:24+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>ensemble</title>
        <link>https://www.cp2k.org/exercises:common:ensemble?rev=1667237304&amp;do=diff</link>
        <description>Ensembles (Lennard-Jones liquids)

In this exercise, you will simulate a fluid of monoatomic particles that interact with a Lennard-Jones potential. The method to be used is molecular dynamics (MD) with periodic boundary conditions using CP2K. The aim is to explore the method, calculate the radial distribution function $g(r)$$U(x)=4\epsilon \left [\left ( \frac{\sigma }{r_{ij}} \right )^{12}- \left ( \frac{\sigma }{r_{ij}} \right )^{6}  \right ]$$\epsilon$$\sigma$$r_{ij}$$r_{ij}$$\sigma$$g(r)$$\…</description>
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        <dc:date>2022-11-14T14:02:10+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>eos</title>
        <link>https://www.cp2k.org/exercises:common:eos?rev=1668434530&amp;do=diff</link>
        <description>Lattice constant optimization

The actual energy -- and therefore also the stress tensor -- depends on many parameters, like the selected functional. This means that geometrical parameters like the lattice constant may also vary and therefore need to be optimized first when building a new geometry. While this could be done using CP2K&#039;s $E_0$$V_0$$B_0$$B_1$\begin{align*}
  E(V) = E_0 + \frac{9 V_0 B_0}{16} \Bigg\{
    \left[ \left(\frac{V_0}{V}\right)^{2/3} - 1 \right]^3 B_1 \; + \left[ \left(\fr…</description>
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    <item rdf:about="https://www.cp2k.org/exercises:common:geo_opt?rev=1708603237&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2024-02-22T12:00:37+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>geo_opt</title>
        <link>https://www.cp2k.org/exercises:common:geo_opt?rev=1708603237&amp;do=diff</link>
        <description>Geometry Optimization

Introduction

Geometry optimization is a process of changing the system&#039;s geometry (the nuclear coordinates and potentially the lattice vectors) to minimize the total energy of the systems. 

Potential energy surface describes the energy of a system, especially a collection of atoms, in terms of certain parameters, normally the positions of the atoms. $\frac{dE}{dr} = 0 $$\frac{d^2E}{dr^2} &gt; 0 $$f = -\frac{dE}{dr}$$\frac{d^2E}{dr^2}$$G = E_{DFT} + ZPE - TS$</description>
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    <item rdf:about="https://www.cp2k.org/exercises:common:i-pi?rev=1662651617&amp;do=diff">
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        <dc:date>2022-09-08T15:40:17+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>i-pi</title>
        <link>https://www.cp2k.org/exercises:common:i-pi?rev=1662651617&amp;do=diff</link>
        <description>This a short tutorial on how to run I-PI with CP2K.

i-PI is a Python interface for ab initio path integral molecular dynamics simulations. 
i-PI is composed of a Python server (i-pi itself, that does not need to be compiled but only requires a relatively recent version of Python and Numpy) that propagates the (path integral) dynamics of the nuclei, and of an external code that acts as a client and computes the electronic energy and forces.</description>
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        <dc:date>2025-06-19T09:23:51+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>index</title>
        <link>https://www.cp2k.org/exercises:common:index?rev=1750325031&amp;do=diff</link>
        <description>Exercises

The following exercises are maintained by Jinggang Lan (jinggang.lan@suat-sz.edu.cn). 

	*   Code Structure

	*   Useful Tools 

	*   Reading Lists

Stationary Point Optimization

	*   Geometry Optimization

	*   Transition State Optimization via Nudged Elastic Band (NEB) Method

	*   Equation of States (EOS)

Calculations of Properties

	*   Density of States

	*   Band Structure

	*   Workfunction

	*   Charge Density Difference

	*   Vibrational Analysis

Molecular Dynamics

	*   E…</description>
    </item>
    <item rdf:about="https://www.cp2k.org/exercises:common:lr-tddft?rev=1668432818&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2022-11-14T13:33:38+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>lr-tddft</title>
        <link>https://www.cp2k.org/exercises:common:lr-tddft?rev=1668432818&amp;do=diff</link>
        <description>This is a copy from How to run a XAS LR-TDDFT calculation
, written by Augustin Bussy.

The details of the method can be found in  Physical Chemistry Chemical Physics, 2021, DOI: 10.1039/D0CP06164F. Please cite this paper if you were to use the XAS_TDP method for the work you publish.

How to run XAS LR-TDDFT calculations

This is a short tutorial on how to run near-edge X-ray absorption spectroscopy calculations using linear-response TDDFT. The method is implemented in CP2K under the \begin{equ…</description>
    </item>
    <item rdf:about="https://www.cp2k.org/exercises:common:mtd?rev=1718707893&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2024-06-18T10:51:33+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>mtd</title>
        <link>https://www.cp2k.org/exercises:common:mtd?rev=1718707893&amp;do=diff</link>
        <description>Metadynamics

Introduction

Metadynamics is a method that allows the acceleration of rare events and estimation of the free energy of a system undergoing conformational transitions.  

In the following exercise, we will explore the dynamic equilibrium between formic acid and water molecules at the rutile (110) TiO$_2$$_2$$^+$$^-$$_0$$_{O-Ti} = \frac{1}{N_O} \sum_{i O} \sum_{j Ti} \frac{1-(\frac{r_{ij}}{R_0})^{NN}}{1-(\frac{r_{ij}}{R_0})^{ND}}$$_{CV}$$_{CV}$</description>
    </item>
    <item rdf:about="https://www.cp2k.org/exercises:common:neb?rev=1662671807&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2022-09-08T21:16:47+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>neb</title>
        <link>https://www.cp2k.org/exercises:common:neb?rev=1662671807&amp;do=diff</link>
        <description>Nudged elastic band

Regtest see: 

cp2k/tests/NEB/

Manual see: 

 %MOTION%BAND

Reference: 

 J. Chem. Phys. 113, 9978 (2000) for IT-NEB;

 J. Chem. Phys. 113, 9901 (2000) for CI-NEB

Introduction

Consider a potential energy surface (PES) as below, the goal is to find the saddle point, transition structure between reactant and prodcut. The commonly-used algorithms include $\frac{dE}{dr} = 0 $$\frac{d^2E}{dr^2} &lt; 0 $$S_N2$$$ \text{Cl}^- + \text{CH}_3\text{Cl} \longleftrightarrow \text{Cl}\text…</description>
    </item>
    <item rdf:about="https://www.cp2k.org/exercises:common:pdos?rev=1662650949&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2022-09-08T15:29:09+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>pdos</title>
        <link>https://www.cp2k.org/exercises:common:pdos?rev=1662650949&amp;do=diff</link>
        <description>Projected density of states for WO$_3$

In this exercise, we will carry out Density Of States(DOS) and band structure calculation using K-point sampling for Cubic lattice WO$_3$. The reference DOS and band structure you can find in this paper



Getting the PDOS

$\Gamma$$\sigma$$\sigma$$E_h$$_2p$$_5d$$_3$$s$$p_x$$\sigma$$width$</description>
    </item>
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        <dc:format>text/html</dc:format>
        <dc:date>2025-12-29T04:44:23+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>reading_list</title>
        <link>https://www.cp2k.org/exercises:common:reading_list?rev=1766983463&amp;do=diff</link>
        <description>Books

	*  Modern Quantum Chemistry: Introduction to Advanced Electronic Structure Theory, Attila Szabo

	*  Molecular Electronic-Structure Theory, Trygve Helgaker, Poul Jørgensen, and Jeppe Olsen

	*  Electronic Structure: Basic Theory and Practical Methods, Richard M. Martin</description>
    </item>
    <item rdf:about="https://www.cp2k.org/exercises:common:sgcp?rev=1750301673&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2025-06-19T02:54:33+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>sgcp</title>
        <link>https://www.cp2k.org/exercises:common:sgcp?rev=1750301673&amp;do=diff</link>
        <description>In this exercise, you will perform ab initio molecular dynamics using Second Generation Car-Parrinello (SGCP) molecular dynamics.

Please cite  Phys. Rev. Lett. 98, 066401  , if you use this method.

Published work using SGCP method:

 J. Phys. Chem. C 2018, 122, 42, 24068–24076

J. Phys. Chem. Lett. 2020, 11, 9, 3724–3730

1. Introduction

Second Generation CPMD (2ndG \[
C_p(t_n) = \sum_{m=1}^{K} (-1)^{m+1} \cdot m \cdot B_m \cdot P_S(t_{n-m})
\]\( B_m \)\( P_S \)\( S \)\[
C(t_n) = \omega \cdot…</description>
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        <dc:format>text/html</dc:format>
        <dc:date>2023-12-04T13:30:55+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>useful_tools</title>
        <link>https://www.cp2k.org/exercises:common:useful_tools?rev=1701696655&amp;do=diff</link>
        <description>Crystal structures database

	*  Bilbao Crystallographic Server : &lt;http://www.cryst.ehu.es/&gt;
	*  Crystallography Open Database : &lt;http://www.crystallography.net/cod/search.html&gt;
	*  Material Project: &lt;https://materialsproject.org/&gt;	

Basis set database

	*  Basis Set Exchange: &lt;https://www.basissetexchange.org/&gt;

Modeling Software

	*  Avogadro : &lt;https://avogadro.cc/&gt;
	*  VESTA : &lt;http://jp-minerals.org/vesta/en/&gt;
	*  VMD : &lt;http://www.ks.uiuc.edu/Research/vmd/&gt;

Useful Tutorial</description>
    </item>
    <item rdf:about="https://www.cp2k.org/exercises:common:vib?rev=1662648479&amp;do=diff">
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        <dc:date>2022-09-08T14:47:59+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>vib</title>
        <link>https://www.cp2k.org/exercises:common:vib?rev=1662648479&amp;do=diff</link>
        <description>Vibrational Analysis</description>
    </item>
    <item rdf:about="https://www.cp2k.org/exercises:common:wf?rev=1667239939&amp;do=diff">
        <dc:format>text/html</dc:format>
        <dc:date>2022-10-31T18:12:19+00:00</dc:date>
        <dc:creator>Anonymous (anonymous@undisclosed.example.com)</dc:creator>
        <title>wf</title>
        <link>https://www.cp2k.org/exercises:common:wf?rev=1667239939&amp;do=diff</link>
        <description>The work function is the minimum thermodynamic work needed to remove an electron from a solid (or surface) to a point in the vacuum. The work function is not a characteristic of a bulk material, but rather a property of the surface of the material.

$W = -e\phi - E_f$$\phi$$E_f$</description>
    </item>
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