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

using model chemistry: PBEPBE/cc-pVDZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at PBEPBE/cc-pVDZ
 hartrees
Energy at 0K-275.986325
Energy at 298.15K-276.003307
Nuclear repulsion energy320.333375
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 PBEPBE/cc-pVDZ
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 3056 3039 25.36      
2 A 3050 3032 50.23      
3 A 3048 3030 27.63      
4 A 3042 3025 28.13      
5 A 3041 3023 27.95      
6 A 3039 3022 46.52      
7 A 2999 2982 38.17      
8 A 2985 2968 22.74      
9 A 2967 2950 10.58      
10 A 2966 2949 27.28      
11 A 2963 2946 37.81      
12 A 2962 2945 25.50      
13 A 2952 2935 41.78      
14 A 2944 2927 36.68      
15 A 2929 2912 15.33      
16 A 2913 2897 10.95      
17 A 1434 1426 7.84      
18 A 1431 1423 3.72      
19 A 1429 1420 3.90      
20 A 1421 1413 2.32      
21 A 1420 1412 3.99      
22 A 1418 1410 6.61      
23 A 1416 1407 2.81      
24 A 1409 1401 0.48      
25 A 1397 1389 0.21      
26 A 1350 1342 5.94      
27 A 1346 1338 2.77      
28 A 1345 1338 0.82      
29 A 1337 1330 1.41      
30 A 1322 1315 1.71      
31 A 1317 1309 0.19      
32 A 1278 1271 0.13      
33 A 1271 1264 0.57      
34 A 1248 1241 0.79      
35 A 1229 1222 0.96      
36 A 1202 1195 3.82      
37 A 1148 1142 0.02      
38 A 1140 1133 0.14      
39 A 1134 1127 6.08      
40 A 1073 1066 0.98      
41 A 1041 1035 0.78      
42 A 1030 1024 0.19      
43 A 1008 1002 1.25      
44 A 967 961 4.74      
45 A 933 928 2.97      
46 A 917 912 2.39      
47 A 867 862 1.03      
48 A 837 832 0.64      
49 A 804 800 0.20      
50 A 754 750 4.32      
51 A 725 720 1.98      
52 A 488 485 0.26      
53 A 426 423 0.20      
54 A 365 363 0.18      
55 A 312 311 0.04      
56 A 282 281 0.00      
57 A 257 256 0.00      
58 A 242 241 0.00      
59 A 213 211 0.09      
60 A 147 147 0.01      
61 A 106 106 0.02      
62 A 76 75 0.00      
63 A 64 64 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 46117.0 cm-1
Scaled (by 0.9942) Zero Point Vibrational Energy (zpe) 45849.5 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 PBEPBE/cc-pVDZ
ABC
0.19097 0.03604 0.03249

See section I.F.4 to change rotational constant units
Geometric Data calculated at PBEPBE/cc-pVDZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.573 0.139 -0.211
H2 -0.594 0.115 -1.328
C3 -0.767 1.597 0.232
C4 -1.715 -0.770 0.291
C5 0.790 -0.423 0.240
C6 -3.104 -0.440 -0.262
C7 2.024 0.249 -0.376
C8 3.338 -0.410 0.053
H9 -0.754 1.676 1.341
H10 0.032 2.258 -0.160
H11 -1.732 2.012 -0.122
H12 -1.736 -0.734 1.405
H13 -1.463 -1.822 0.029
H14 0.822 -1.509 -0.003
H15 0.855 -0.363 1.352
H16 -3.859 -1.172 0.089
H17 -3.455 0.565 0.050
H18 -3.111 -0.463 -1.373
H19 2.050 1.326 -0.101
H20 1.938 0.221 -1.486
H21 4.216 0.086 -0.407
H22 3.469 -0.368 1.155
H23 3.367 -1.481 -0.239

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
C11.11691.53631.54301.54212.59692.60533.95872.19182.20422.20392.17372.16632.16942.17583.55042.92452.85492.88122.81744.79414.29744.2604
H21.11692.15852.15832.15922.78292.78914.20043.09582.51962.51913.08052.51902.52883.08333.78483.20702.58273.15592.53904.89784.78624.4067
C31.53632.15852.55052.55043.13983.15884.57321.11201.10831.10822.78403.49483.49702.77964.15362.88513.50902.84913.48705.24654.76045.1756
C41.54302.15832.55052.52961.53153.93265.07142.82973.52442.81201.11431.11262.65902.80962.19102.20612.19344.32644.18106.03325.27115.1586
C51.54212.15922.55042.52963.92691.53422.55482.82872.81383.52392.79942.66091.11381.11554.71184.36264.22152.18172.17013.52362.83162.8266
C62.59692.78293.13981.53153.92695.17616.45033.54554.13852.81322.17632.16484.07784.27621.10881.10911.11085.45065.23047.34116.72526.5544
C72.60532.78913.15883.93261.53425.17611.53143.56432.83704.15704.27554.07632.16202.17466.07065.50485.27931.11161.11352.19832.19392.1944
C83.95874.20044.57325.07142.55486.45031.53144.77074.25355.62165.26135.00462.74582.80317.23766.86276.60492.16782.17441.10881.11051.1105
H92.19183.09581.11202.82972.82873.54553.56434.77071.79131.79142.60333.80213.79962.59724.39543.19284.18243.17244.16585.50384.69605.4268
H102.20422.51961.10833.52442.81384.13852.83704.25351.79131.78183.81134.34883.85173.13495.19333.88214.33052.22283.08824.72064.52065.0105
H112.20392.51911.10822.81203.52392.81324.15705.62161.79141.78183.14173.84554.35113.80813.83502.25653.09673.84334.30496.25885.86076.1815
H122.17373.08052.78401.11432.79942.17634.27555.26132.60333.81133.14171.77443.02162.61802.53542.54463.11074.56564.77136.27615.22465.4132
H132.16632.51903.49481.11262.66092.16484.07635.00463.80214.34883.84551.77442.30723.04162.48283.10822.55444.71854.24686.00735.26434.8495
H142.16942.52883.49702.65901.11384.07782.16202.74583.79963.85174.35113.02162.30721.77564.69444.75374.29393.09072.53653.77173.10672.5555
H152.17583.08332.77962.80961.11554.27622.17462.80312.59723.13493.80812.61803.04161.77564.94674.59644.81252.52823.09313.82062.62223.1773
H163.55043.78484.15362.19104.71181.10886.07067.23764.39545.19333.83502.53542.48284.69444.94671.78401.78906.41806.16658.18807.44927.2399
H172.92453.20702.88512.20614.36261.10915.50486.86273.19283.88212.25652.54463.10824.75374.59641.78401.78875.55905.61777.69987.07377.1278
H182.85492.58273.50902.19344.22151.11085.27936.60494.18244.33053.09673.11072.55444.29394.81251.78901.78875.60785.09607.41097.04976.6543
H192.88123.15592.84914.32642.18175.45061.11162.16783.17242.22283.84334.56564.71853.09072.52826.41805.55905.60781.77492.51522.54233.1040
H202.81742.53903.48704.18102.17015.23041.11352.17444.16583.08824.30494.77134.24682.53653.09316.16655.61775.09601.77492.52473.10912.5482
H214.79414.89785.24656.03323.52367.34112.19831.10885.50384.72066.25886.27616.00733.77173.82068.18807.69987.41092.51522.52471.79001.7905
H224.29744.78624.76045.27112.83166.72522.19391.11054.69604.52065.86075.22465.26433.10672.62227.44927.07377.04972.54233.10911.79001.7874
H234.26044.40675.17565.15862.82666.55442.19441.11055.42685.01056.18155.41324.84952.55553.17737.23997.12786.65433.10402.54821.79051.7874

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 110.689 C1 C3 H10 111.901
C1 C3 H11 111.878 C1 C4 C6 115.265
C1 C4 H12 108.694 C1 C4 H13 108.234
C1 C5 C7 115.749 C1 C5 H14 108.455
C1 C5 H15 108.854 H2 C1 C3 107.839
H2 C1 C4 107.387 H2 C1 C5 107.508
C3 C1 C4 111.843 C3 C1 C5 111.882
C4 C1 C5 110.154 C4 C6 H16 111.149
C4 C6 H17 112.335 C4 C6 H18 111.221
C5 C7 C8 112.892 C5 C7 H19 110.072
C5 C7 H20 109.064 C6 C4 H12 109.672
C6 C4 H13 108.882 C7 C5 H14 108.424
C7 C5 H15 109.291 C7 C8 H21 111.744
C7 C8 H22 111.281 C7 C8 H23 111.324
C8 C7 H19 109.177 C8 C7 H20 109.576
H9 C3 H10 107.567 H9 C3 H11 107.573
H10 C3 H11 107.002 H12 C4 H13 105.654
H14 C5 H15 105.588 H16 C6 H17 107.097
H16 C6 H18 107.416 H17 C6 H18 107.371
H19 C7 H20 105.814 H21 C8 H22 107.522
H21 C8 H23 107.568 H22 C8 H23 107.175
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at PBEPBE/cc-pVDZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.137      
2 H -0.003      
3 C -0.006      
4 C -0.033      
5 C 0.002      
6 C -0.044      
7 C -0.067      
8 C -0.045      
9 H 0.025      
10 H 0.026      
11 H 0.025      
12 H 0.013      
13 H 0.012      
14 H 0.006      
15 H 0.009      
16 H 0.027      
17 H 0.034      
18 H 0.029      
19 H 0.026      
20 H 0.018      
21 H 0.024      
22 H 0.030      
23 H 0.029      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.007 0.002 -0.063 0.063
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.157 0.316 -0.196
y 0.316 -48.693 0.199
z -0.196 0.199 -48.396
Traceless
 xyz
x -0.612 0.316 -0.196
y 0.316 0.083 0.199
z -0.196 0.199 0.529
Polar
3z2-r21.058
x2-y2-0.464
xy0.316
xz-0.196
yz0.199


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.835 0.013 0.042
y 0.013 11.715 -0.076
z 0.042 -0.076 10.896


<r2> (average value of r2) Å2
<r2> 365.380
(<r2>)1/2 19.115