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@<TRIPOS>MOLECULE | ||
RES | ||
27 27 1 0 1 | ||
SMALL | ||
NO_CHARGES | ||
@<TRIPOS>CRYSIN | ||
13.8222 9.4717 9.3109 90.0000 90.0000 90.0000 1 1 | ||
@<TRIPOS>ATOM | ||
1 C0 14.1713 10.6638 10.2575 C0 1 RES | ||
2 C0 12.7816 10.5396 9.6397 C0 1 RES | ||
3 C0 11.8555 9.6942 10.5225 C0 1 RES | ||
4 C0 10.4652 9.5693 9.8894 C0 1 RES | ||
5 C0 9.5345 8.7093 10.7585 C0 1 RES | ||
6 C0 8.1488 8.5349 10.1180 C0 1 RES | ||
7 C1 7.4178 9.8420 9.9706 C1 1 RES | ||
8 C1 7.0527 10.6406 11.0504 C1 1 RES | ||
9 S2 6.2624 11.9995 10.4564 S2 1 RES | ||
10 C1 6.3741 11.5898 8.8302 C1 1 RES | ||
11 C1 7.0354 10.3740 8.7296 C1 1 RES | ||
12 H3 14.8183 11.2776 9.5959 H3 1 RES | ||
13 H3 14.6325 9.6595 10.3735 H3 1 RES | ||
14 H3 14.1093 11.1550 11.2515 H3 1 RES | ||
15 H3 12.8767 10.0661 8.6379 H3 1 RES | ||
16 H3 12.3520 11.5574 9.5139 H3 1 RES | ||
17 H3 12.2944 8.6797 10.6472 H3 1 RES | ||
18 H3 11.7630 10.1704 11.5235 H3 1 RES | ||
19 H3 10.0306 10.5856 9.7667 H3 1 RES | ||
20 H3 10.5621 9.0987 8.8861 H3 1 RES | ||
21 H3 9.9875 7.7008 10.8798 H3 1 RES | ||
22 H3 9.4290 9.1641 11.7676 H3 1 RES | ||
23 H3 7.5352 7.8577 10.7499 H3 1 RES | ||
24 H3 8.2742 8.0520 9.1238 H3 1 RES | ||
25 H4 7.2362 9.8904 7.7826 H4 1 RES | ||
26 H5 7.2416 10.4260 12.0935 H5 1 RES | ||
27 H5 5.9961 12.1726 8.0013 H5 1 RES | ||
@<TRIPOS>BOND | ||
1 1 2 1 | ||
2 1 12 1 | ||
3 1 13 1 | ||
4 1 14 1 | ||
5 2 3 1 | ||
6 2 15 1 | ||
7 2 16 1 | ||
8 3 4 1 | ||
9 3 17 1 | ||
10 3 18 1 | ||
11 4 5 1 | ||
12 4 19 1 | ||
13 4 20 1 | ||
14 5 6 1 | ||
15 5 21 1 | ||
16 5 22 1 | ||
17 6 7 1 | ||
18 6 23 1 | ||
19 6 24 1 | ||
20 7 8 1 | ||
21 7 11 1 | ||
22 8 9 1 | ||
23 8 26 1 | ||
24 9 10 1 | ||
25 10 11 1 | ||
26 10 27 1 | ||
27 11 25 1 | ||
@<TRIPOS>SUBSTRUCTURE | ||
1 RES 1 RESIDUE 0 **** ROOT 0 |
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<ForceField name="" version="" combining_rule="geometric"> | ||
<AtomTypes> | ||
<Type name="H5" class="H5" element="_H5" mass="1.008" def="_H5" desc=""/> | ||
<Type name="H3" class="H3" element="_H3" mass="1.008" def="_H3" desc=""/> | ||
<Type name="H4" class="H4" element="_H4" mass="1.008" def="_H4" desc=""/> | ||
<Type name="S2" class="S2" element="_S2" mass="32.06" def="_S2" desc=""/> | ||
<Type name="C0" class="C0" element="_C0" mass="12.011" def="_C0" desc=""/> | ||
<Type name="C1" class="C1" element="_C1" mass="12.011" def="_C1" desc=""/> | ||
</AtomTypes> | ||
<HarmonicBondForce> | ||
<Bond class1="C0" class2="C0" length="0.15393138859485156" k="216071.5673604569"/> | ||
<Bond class1="C0" class2="H3" length="0.10976204613301968" k="306243.2994478932"/> | ||
<Bond class1="C0" class2="C1" length="0.15021762614242648" k="245043.09124482484"/> | ||
<Bond class1="C1" class2="C1" length="0.13696133519685275" k="417404.23786464764"/> | ||
<Bond class1="C1" class2="S2" length="0.17644359746123384" k="146619.58148765477"/> | ||
<Bond class1="C1" class2="H5" length="0.10847683421363911" k="342520.45189188817"/> | ||
<Bond class1="S2" class2="C1" length="0.17456724887079533" k="155523.3472930218"/> | ||
<Bond class1="C1" class2="H4" length="0.10863386001736958" k="335143.64070747164"/> | ||
</HarmonicBondForce> | ||
<HarmonicAngleForce> | ||
<Angle class1="C0" class2="C0" class3="C0" angle="1.971023440361023" k="571.7145128119677"/> | ||
<Angle class1="C0" class2="C0" class3="H3" angle="1.919396162033081" k="400.7807950494681"/> | ||
<Angle class1="C0" class2="C0" class3="C1" angle="1.9725769758224487" k="567.2166987593794"/> | ||
<Angle class1="C0" class2="C1" class3="C1" angle="2.387712240219116" k="370.1760901705978"/> | ||
<Angle class1="C1" class2="C0" class3="H3" angle="1.916161298751831" k="419.6637425240785"/> | ||
<Angle class1="C1" class2="C1" class3="S2" angle="2.26436710357666" k="600.522063868667"/> | ||
<Angle class1="C1" class2="C1" class3="H5" angle="2.385676145553589" k="242.64219357507048"/> | ||
<Angle class1="C1" class2="C1" class3="C1" angle="2.221386194229126" k="622.0677222701529"/> | ||
<Angle class1="C1" class2="C1" class3="H4" angle="2.2988548278808594" k="253.7424039841016"/> | ||
<Angle class1="C1" class2="S2" class3="C1" angle="1.749892234802246" k="1116.8353273914954"/> | ||
<Angle class1="S2" class2="C1" class3="H5" angle="2.220374345779419" k="269.41800934151877"/> | ||
<Angle class1="S2" class2="C1" class3="C1" angle="2.220290422439575" k="647.3334296165826"/> | ||
<Angle class1="H3" class2="C0" class3="H3" angle="1.889668583869934" k="334.4416957736681"/> | ||
</HarmonicAngleForce> | ||
<PeriodicTorsionForce> | ||
<Proper class1="C0" class2="C0" class3="C0" class4="C0" periodicity1="1" k1="0.4446541383098747" phase1="3.141592653589793" periodicity2="2" k2="1.0641324288535725" phase2="3.141592653589793" periodicity3="3" k3="0.6187414486983862" phase3="0.0" periodicity4="4" k4="0.5066066972730099" phase4="3.141592653589793"/> | ||
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<Proper class1="S2" class2="C1" class3="C1" class4="S2" periodicity1="1" k1="1.070931195128239" phase1="3.141592653589793" periodicity2="2" k2="1.744053528160295" phase2="3.141592653589793" periodicity3="3" k3="0.7096954547184122" phase3="0.0" periodicity4="4" k4="1.0641796515291302" phase4="3.141592653589793"/> | ||
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</PeriodicTorsionForce> | ||
<NonbondedForce coulomb14scale="1.0" lj14scale="1.0"> | ||
<Atom type="C0" charge="-0.03563004732131958" sigma="0.337953176162662" epsilon="0.45538911611061844"/> | ||
<Atom type="C1" charge="-0.16065320372581482" sigma="0.34806468869450646" epsilon="0.3635030558377792"/> | ||
<Atom type="S2" charge="0.06319281458854675" sigma="0.3563594872561357" epsilon="1.046"/> | ||
<Atom type="H3" charge="0.04735146462917328" sigma="0.26445434132681245" epsilon="0.06602135607582665"/> | ||
<Atom type="H4" charge="0.1513296663761139" sigma="0.2572581535063279" epsilon="0.06531785996356952"/> | ||
<Atom type="H5" charge="0.16874316334724426" sigma="0.24536265277299726" epsilon="0.05483968129296432"/> | ||
</NonbondedForce> | ||
</ForceField> |
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{ | ||
"cells": [ | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"id": "67081b67-7a25-48f2-8daa-f78434be755d", | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"# Calculating tau for PPS" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 4, | ||
"id": "2381633c-98ef-418a-81af-5c1b506f16eb", | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"import numpy" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 43, | ||
"id": "bd0aacb8-cf68-4620-814f-19804e586e54", | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"sigma = 0.3438e-9 # nm to meters\n", | ||
"epsilon = 1.7782 * 1000 # kJ to J\n", | ||
"mass = 68.0 / 1000 # g to kg" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 24, | ||
"id": "c96c3a58-5e42-4237-8a87-7bafb8ccabb1", | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"tau = numpy.sqrt((mass * (sigma**2)) / epsilon)" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 27, | ||
"id": "38a6a264-08dd-4566-aa49-b9b590fffeb4", | ||
"metadata": {}, | ||
"outputs": [ | ||
{ | ||
"data": { | ||
"text/plain": [ | ||
"2.126033119686479e-12" | ||
] | ||
}, | ||
"execution_count": 27, | ||
"metadata": {}, | ||
"output_type": "execute_result" | ||
} | ||
], | ||
"source": [ | ||
"tau" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 28, | ||
"id": "921fcaf7-bb84-4477-a610-e4066baf5c36", | ||
"metadata": {}, | ||
"outputs": [ | ||
{ | ||
"data": { | ||
"text/plain": [ | ||
"2.1260331196864793e-15" | ||
] | ||
}, | ||
"execution_count": 28, | ||
"metadata": {}, | ||
"output_type": "execute_result" | ||
} | ||
], | ||
"source": [ | ||
"tau * 0.001 # one time step of 0.001" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"id": "5325480a-21af-4ebe-8004-d6d12d54dd35", | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"# Find the volume of a box with 100000 monomers of PPS and a density of 1.2 g/cm^3" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 2, | ||
"id": "f564c18d-9a7b-4de1-ae19-2a348c7ab407", | ||
"metadata": {}, | ||
"outputs": [ | ||
{ | ||
"data": { | ||
"text/plain": [ | ||
"9.409941326248203e-18" | ||
] | ||
}, | ||
"execution_count": 2, | ||
"metadata": {}, | ||
"output_type": "execute_result" | ||
} | ||
], | ||
"source": [ | ||
"mass = 68 / (6.022e23) # g/mol to g of one monomer\n", | ||
"density = 1.2\n", | ||
"n = 100000\n", | ||
"volume = (n * mass) / density\n", | ||
"volume" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 5, | ||
"id": "1e07ad36-1b4b-4746-8d98-347a6a6e4e2b", | ||
"metadata": {}, | ||
"outputs": [ | ||
{ | ||
"data": { | ||
"text/plain": [ | ||
"2.1111980293376474e-06" | ||
] | ||
}, | ||
"execution_count": 5, | ||
"metadata": {}, | ||
"output_type": "execute_result" | ||
} | ||
], | ||
"source": [ | ||
"L = numpy.cbrt(volume)\n", | ||
"L" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 6, | ||
"id": "7eaa4cdd-3b7f-4c0f-959a-ee16e7edf3e2", | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"# given box with length of 10nm, how many monomers are inside the box at that density?" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 7, | ||
"id": "256f63cf-9882-4f23-95d5-de5851cc9b03", | ||
"metadata": {}, | ||
"outputs": [ | ||
{ | ||
"data": { | ||
"text/plain": [ | ||
"1.1999999999999998e-18" | ||
] | ||
}, | ||
"execution_count": 7, | ||
"metadata": {}, | ||
"output_type": "execute_result" | ||
} | ||
], | ||
"source": [ | ||
"length = 1e-6\n", | ||
"m = (length**3) * density\n", | ||
"m" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": 8, | ||
"id": "b580cb6a-5ced-44d8-986a-9a04f0c46e39", | ||
"metadata": {}, | ||
"outputs": [ | ||
{ | ||
"data": { | ||
"text/plain": [ | ||
"10627.058823529409" | ||
] | ||
}, | ||
"execution_count": 8, | ||
"metadata": {}, | ||
"output_type": "execute_result" | ||
} | ||
], | ||
"source": [ | ||
"monomers = m / mass\n", | ||
"monomers" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"id": "b88b8ea7-f897-46d9-928b-e6b15068e836", | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"# what is the change in box length per step with 20Hz and 38micron amplitude" | ||
] | ||
}, | ||
{ | ||
"cell_type": "code", | ||
"execution_count": null, | ||
"id": "40eb2918-b7dc-4e07-983b-cd5faa3e0b62", | ||
"metadata": {}, | ||
"outputs": [], | ||
"source": [ | ||
"frequency = 20 # 1/s\n", | ||
"amplitude = 3.8e-5" | ||
] | ||
} | ||
], | ||
"metadata": { | ||
"kernelspec": { | ||
"display_name": "Python 3 (ipykernel)", | ||
"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": "3.11.9" | ||
} | ||
}, | ||
"nbformat": 4, | ||
"nbformat_minor": 5 | ||
} |
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