return to home page Computational Chemistry Comparison and Benchmark DataBase Release 22 (May 2022) Standard Reference Database 101 National Institute of Standards and Technology
You are here: Calculated > Energy > Optimized > Energy

All results from a given calculation for C7H16 (3-methylhexane)

using model chemistry: B3PW91/3-21G

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at B3PW91/3-21G
 hartrees
Energy at 0K-274.813543
Energy at 298.15K-274.830870
Nuclear repulsion energy321.552899
The energy at 298.15K was derived from the energy at 0K and an integrated heat capacity that used the calculated vibrational frequencies.
Vibrational Frequencies calculated at B3PW91/3-21G
Mode Number Symmetry Frequency
(cm-1)
Scaled Frequency
(cm-1)
IR Intensities
(km mol-1)
Raman Act
4/u)
Dep P Dep U
1 A 3135 3014 25.56      
2 A 3129 3008 74.24      
3 A 3125 3004 22.61      
4 A 3123 3002 78.49      
5 A 3122 3001 9.94      
6 A 3120 2999 19.87      
7 A 3096 2976 12.96      
8 A 3079 2959 18.01      
9 A 3065 2946 6.59      
10 A 3053 2934 22.87      
11 A 3051 2932 25.26      
12 A 3050 2932 23.89      
13 A 3048 2930 23.99      
14 A 3039 2922 30.26      
15 A 3029 2911 3.50      
16 A 3025 2908 5.35      
17 A 1575 1514 12.23      
18 A 1566 1505 20.90      
19 A 1564 1503 0.06      
20 A 1561 1501 8.08      
21 A 1558 1498 11.26      
22 A 1555 1495 2.42      
23 A 1547 1487 1.20      
24 A 1541 1481 0.65      
25 A 1528 1468 0.27      
26 A 1458 1401 15.47      
27 A 1454 1398 3.41      
28 A 1448 1391 12.05      
29 A 1415 1360 0.45      
30 A 1395 1341 2.21      
31 A 1391 1337 0.67      
32 A 1369 1315 0.51      
33 A 1362 1309 0.23      
34 A 1338 1287 0.56      
35 A 1321 1270 0.77      
36 A 1294 1243 0.75      
37 A 1223 1176 0.23      
38 A 1199 1152 6.34      
39 A 1184 1138 0.41      
40 A 1109 1066 9.87      
41 A 1077 1035 1.87      
42 A 1060 1019 4.02      
43 A 1034 994 0.91      
44 A 1014 975 0.54      
45 A 1004 966 8.11      
46 A 952 915 4.23      
47 A 897 862 1.20      
48 A 891 857 1.91      
49 A 838 806 1.30      
50 A 790 760 5.61      
51 A 758 729 4.56      
52 A 512 492 0.74      
53 A 439 422 0.38      
54 A 381 367 0.26      
55 A 326 313 0.09      
56 A 300 289 0.00      
57 A 266 255 0.00      
58 A 247 237 0.01      
59 A 220 211 0.05      
60 A 154 148 0.05      
61 A 110 106 0.01      
62 A 79 76 0.00      
63 A 64 61 0.00      

Unscaled Zero Point Vibrational Energy (zpe) 48327.0 cm-1
Scaled (by 0.9612) Zero Point Vibrational Energy (zpe) 46451.9 cm-1
See section III.C.1 List or set vibrational scaling factors to change the scale factors used here.
See section III.C.2 Calculate a vibrational scaling factor for a given set of molecules to determine the least squares best scaling factor.
Rotational Constants (cm-1) from geometry optimized at B3PW91/3-21G
ABC
0.19250 0.03625 0.03277

See section I.F.4 to change rotational constant units
Geometric Data calculated at B3PW91/3-21G

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.572 0.130 -0.221
H2 -0.596 0.100 -1.322
C3 -0.761 1.587 0.240
C4 -1.713 -0.769 0.308
C5 0.790 -0.427 0.250
C6 -3.095 -0.428 -0.276
C7 2.013 0.250 -0.396
C8 3.331 -0.404 0.057
H9 -0.740 1.635 1.337
H10 0.035 2.232 -0.148
H11 -1.718 1.993 -0.106
H12 -1.742 -0.691 1.405
H13 -1.473 -1.815 0.065
H14 0.829 -1.503 0.021
H15 0.853 -0.328 1.345
H16 -3.853 -1.135 0.083
H17 -3.414 0.580 0.012
H18 -3.071 -0.481 -1.372
H19 2.031 1.316 -0.136
H20 1.924 0.182 -1.489
H21 4.196 0.081 -0.410
H22 3.443 -0.329 1.147
H23 3.345 -1.467 -0.214

Atom - Atom Distances (Å)
  C1 H2 C3 C4 C5 C6 C7 C8 H9 H10 H11 H12 H13 H14 H15 H16 H17 H18 H19 H20 H21 H22 H23
C11.10201.53961.54551.54542.58442.59403.94942.17302.18992.19022.16412.16202.16552.16643.52922.88672.81802.86212.80104.77264.26624.2307
H21.10202.16252.15932.16112.76092.77204.19213.07392.51412.51413.06212.52242.53073.06523.75663.15512.54323.12762.52664.87784.75234.3836
C31.53962.16252.54212.54173.12663.14354.55381.09851.09581.09582.74013.47973.48182.73694.12272.84733.49452.82943.48905.22114.70745.1372
C41.54552.15932.54212.52701.53913.92645.06332.79053.50342.79311.10011.09982.66172.80292.18292.19162.17944.30844.16716.01325.24195.1329
C51.54542.16112.54172.52703.92091.54002.54832.78882.79333.50332.79492.66121.10081.10124.69994.32994.18832.17462.16423.50672.80172.7976
C62.58442.76093.12661.53913.92095.15446.43503.52214.11002.79052.17452.16134.08024.26961.09681.09581.09755.41655.20007.31066.69176.5243
C72.59402.77203.14353.92641.54005.15441.53983.53562.81104.12774.26894.07802.15622.17006.04645.45235.22811.09731.09942.19002.18142.1815
C83.94944.19214.55385.06332.54836.43501.53984.72994.22575.59125.25625.00702.73262.79347.22136.81686.55992.16532.17131.09661.09731.0973
H92.17303.07391.09852.79052.78883.52213.53564.72991.77891.77922.53363.74943.74782.52834.35183.16544.15333.15454.14765.46244.62525.3594
H102.18992.51411.09583.50342.79334.11002.81104.22571.77891.76953.75724.32443.82283.07475.14893.82794.30192.19593.09404.69184.45544.9649
H112.19022.51411.09582.79313.50332.79054.12775.59121.77921.76953.08033.81944.32743.75503.79202.21083.09113.80914.29646.22285.79576.1335
H122.16413.06212.74011.10012.79492.17454.26895.25622.53363.75723.08031.76913.03052.62072.53092.52123.08604.54264.75156.25675.20325.3942
H132.16202.52243.47971.09982.66122.16134.07805.00703.74944.32443.81941.76912.32403.04342.47533.08332.52924.70354.23625.99695.24814.8391
H142.16552.53073.48182.66171.10084.08022.15622.73263.74783.82284.32743.03052.32401.77094.69754.72754.26583.06892.51363.74583.07812.5272
H152.16643.06522.73692.80291.10124.26962.17002.79342.52833.07473.75502.62073.04341.77094.93934.56224.77552.50673.07263.79782.59713.1527
H163.52923.75664.12272.18294.69991.09686.04647.22134.35185.14893.79202.53092.47534.69754.93931.77191.77656.37796.13068.15577.41707.2124
H172.88673.15512.84732.19164.32991.09585.45236.81683.16543.82792.21082.52123.08334.72754.56221.77191.77735.49645.55987.63857.00947.0665
H182.81802.54323.49452.17944.18831.09755.22816.55994.15334.30193.09113.08602.52924.26584.77551.77651.77735.54835.04037.35216.98526.5941
H192.86213.12762.82944.30842.17465.41651.09732.16533.15452.19593.80914.54264.70353.06892.50676.37795.49645.54831.76922.50822.51943.0795
H202.80102.52663.48904.16712.16425.20001.09942.17134.14763.09404.29644.75154.23622.51363.07266.13065.55985.04031.76922.51743.08452.5230
H214.77264.87785.22116.01323.50677.31062.19001.09665.46244.69186.22286.25675.99693.74583.79788.15577.63857.35212.50822.51741.77731.7776
H224.26624.75234.70745.24192.80176.69172.18141.09734.62524.45545.79575.20325.24813.07812.59717.41707.00946.98522.51943.08451.77731.7762
H234.23074.38365.13725.13292.79766.52432.18151.09735.35944.96496.13355.39424.83912.52723.15277.21247.06656.59413.07952.52301.77761.7762

picture of 3-methylhexane state 1 conformation 1
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H9 109.781 C1 C3 H10 111.277
C1 C3 H11 111.299 C1 C4 C6 113.827
C1 C4 H12 108.600 C1 C4 H13 108.448
C1 C5 C7 114.432 C1 C5 H14 108.675
C1 C5 H15 108.724 H2 C1 C3 108.764
H2 C1 C4 108.117 H2 C1 C5 108.268
C3 C1 C4 110.968 C3 C1 C5 110.955
C4 C1 C5 109.679 C4 C6 H16 110.701
C4 C6 H17 111.458 C4 C6 H18 110.378
C5 C7 C8 111.670 C5 C7 H19 109.949
C5 C7 H20 109.012 C6 C4 H12 109.848
C6 C4 H13 108.836 C7 C5 H14 108.317
C7 C5 H15 109.369 C7 C8 H21 111.226
C7 C8 H22 110.499 C7 C8 H23 110.509
C8 C7 H19 109.235 C8 C7 H20 109.581
H9 C3 H10 108.330 H9 C3 H11 108.356
H10 C3 H11 107.691 H12 C4 H13 107.058
H14 C5 H15 107.073 H16 C6 H17 107.823
H16 C6 H18 108.105 H17 C6 H18 108.258
H19 C7 H20 107.292 H21 C8 H22 108.205
H21 C8 H23 108.237 H22 C8 H23 108.060
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at B3PW91/3-21G Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.269      
2 H 0.206      
3 C -0.597      
4 C -0.398      
5 C -0.372      
6 C -0.621      
7 C -0.437      
8 C -0.613      
9 H 0.201      
10 H 0.210      
11 H 0.210      
12 H 0.204      
13 H 0.207      
14 H 0.203      
15 H 0.201      
16 H 0.208      
17 H 0.210      
18 H 0.206      
19 H 0.213      
20 H 0.208      
21 H 0.207      
22 H 0.207      
23 H 0.206      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.003 -0.006 -0.027 0.028
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -48.307 0.201 -0.130
y 0.201 -47.934 0.181
z -0.130 0.181 -47.687
Traceless
 xyz
x -0.497 0.201 -0.130
y 0.201 0.063 0.181
z -0.130 0.181 0.434
Polar
3z2-r20.868
x2-y2-0.373
xy0.201
xz-0.130
yz0.181


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 12.503 0.066 -0.010
y 0.066 10.010 0.015
z -0.010 0.015 9.459


<r2> (average value of r2) Å2
<r2> 361.992
(<r2>)1/2 19.026