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

using model chemistry: mPW1PW91/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
Energy calculated at mPW1PW91/cc-pVTZ
 hartrees
Energy at 0K-276.426456
Energy at 298.15K-276.443671
Nuclear repulsion energy323.721851
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 mPW1PW91/cc-pVTZ
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 3131 3003 28.24      
2 A 3124 2996 59.48      
3 A 3119 2992 32.60      
4 A 3115 2988 10.11      
5 A 3115 2988 57.57      
6 A 3114 2987 51.58      
7 A 3081 2955 29.45      
8 A 3066 2941 22.85      
9 A 3050 2926 9.58      
10 A 3048 2924 29.99      
11 A 3045 2921 28.45      
12 A 3044 2920 39.48      
13 A 3038 2914 35.12      
14 A 3030 2907 32.18      
15 A 3016 2893 10.67      
16 A 3003 2880 5.92      
17 A 1515 1453 8.97      
18 A 1510 1448 10.23      
19 A 1506 1445 3.54      
20 A 1500 1438 5.39      
21 A 1499 1438 2.25      
22 A 1497 1436 9.25      
23 A 1494 1433 1.12      
24 A 1488 1428 0.05      
25 A 1476 1416 0.24      
26 A 1416 1358 9.40      
27 A 1414 1356 3.92      
28 A 1412 1354 2.42      
29 A 1400 1343 0.91      
30 A 1385 1328 0.15      
31 A 1381 1325 1.09      
32 A 1340 1285 0.19      
33 A 1330 1276 0.58      
34 A 1306 1252 0.47      
35 A 1288 1236 0.19      
36 A 1260 1209 1.63      
37 A 1203 1154 0.02      
38 A 1184 1136 2.36      
39 A 1181 1133 2.80      
40 A 1103 1058 1.65      
41 A 1074 1030 1.01      
42 A 1060 1016 0.12      
43 A 1043 1000 0.53      
44 A 1003 963 4.80      
45 A 972 932 2.93      
46 A 948 909 2.29      
47 A 895 858 1.16      
48 A 868 833 0.58      
49 A 830 796 0.15      
50 A 777 745 3.83      
51 A 741 710 2.16      
52 A 501 481 0.24      
53 A 434 416 0.19      
54 A 375 360 0.13      
55 A 320 307 0.04      
56 A 292 280 0.00      
57 A 258 248 0.00      
58 A 241 231 0.00      
59 A 212 204 0.03      
60 A 151 145 0.01      
61 A 106 102 0.01      
62 A 77 74 0.00      
63 A 62 60 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 47730.9 cm-1
Scaled (by 0.9592) Zero Point Vibrational Energy (zpe) 45783.5 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 mPW1PW91/cc-pVTZ
ABC
0.19444 0.03673 0.03311

See section I.F.4 to change rotational constant units
Geometric Data calculated at mPW1PW91/cc-pVTZ

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.568 0.138 -0.208
H2 -0.587 0.111 -1.305
C3 -0.762 1.586 0.229
C4 -1.699 -0.762 0.294
C5 0.783 -0.416 0.245
C6 -3.075 -0.440 -0.267
C7 2.005 0.250 -0.372
C8 3.308 -0.411 0.048
H9 -0.747 1.663 1.319
H10 0.023 2.234 -0.160
H11 -1.713 1.988 -0.119
H12 -1.728 -0.715 1.388
H13 -1.450 -1.798 0.046
H14 0.817 -1.485 0.010
H15 0.847 -0.348 1.337
H16 -3.815 -1.163 0.077
H17 -3.423 0.547 0.035
H18 -3.070 -0.469 -1.359
H19 2.036 1.307 -0.099
H20 1.915 0.221 -1.463
H21 4.171 0.076 -0.408
H22 3.439 -0.370 1.131
H23 3.329 -1.463 -0.244

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
C11.09741.52451.52981.52922.57342.58073.92342.16542.17812.17772.14912.14212.14482.15103.50982.89432.81962.85632.78394.74344.25554.2128
H21.09742.13462.13412.13532.75102.75844.15683.05252.48742.48943.03862.49232.49993.04133.73513.16642.54953.12502.51044.84204.73054.3517
C31.52452.13462.52852.52883.11463.13064.53731.09321.08961.08962.75093.45743.45972.74874.11142.86303.47372.83053.44845.19764.72105.1234
C41.52982.13412.52852.50651.52093.89705.02532.79943.48492.78121.09511.09362.63322.78252.16542.18052.16764.28744.13735.97045.22055.1044
C51.52922.13532.52882.50653.89231.52252.53272.79572.78673.48492.77532.63381.09481.09624.66214.32044.17382.15782.14593.48472.80012.7952
C62.57342.75103.11461.52093.89235.12776.39113.51594.09352.78852.15162.14014.03954.23891.09051.09011.09195.40385.17417.26546.66306.4847
C72.58072.75843.13063.89701.52255.12771.52083.52542.81244.11194.23864.03822.13722.14976.00635.45135.21921.09211.09422.17302.16832.1687
C83.92344.15684.53735.02532.53276.39111.52084.72874.22325.56755.22054.95642.71282.77917.16336.79926.53142.14322.14971.09041.09161.0916
H92.16543.05251.09322.79942.79573.51593.52544.72871.76271.76272.57293.75383.75062.56564.35303.17104.13673.14314.11145.44814.65725.3685
H102.17812.48741.08963.48492.78674.09352.81244.22321.76271.75323.76234.29703.80653.09635.13093.84114.27802.21713.05444.68244.48554.9601
H112.17772.48941.08962.78123.48492.78854.11195.56751.76271.75323.09443.79864.29903.75913.79362.24163.06853.81014.25376.19335.80236.1108
H122.14913.03862.75091.09512.77532.15164.23865.22052.57293.76233.09441.74692.99512.60202.50562.50893.06684.52374.72006.21675.18545.3660
H132.14212.49233.45741.09362.63382.14014.03824.95643.75384.29703.79861.74692.28933.00832.44893.06442.52224.67034.20485.94235.20804.7993
H142.14482.49993.45972.63321.09484.03952.13722.71283.75063.80654.29902.99512.28931.74814.64434.70224.24433.04812.50733.72243.06182.5242
H152.15103.04132.74872.78251.09624.23892.14972.77912.56563.09633.75912.60203.00831.74814.89864.55324.75682.49253.05043.77782.60043.1467
H163.50983.73514.11142.16544.66211.09056.00637.16334.35305.13093.79362.50562.44894.64434.89861.75551.76046.35376.09348.09627.37387.1574
H172.89433.16642.86302.18054.32041.09015.45136.79923.17103.84112.24162.50893.06444.70224.55321.75551.76105.51305.55437.62127.00957.0500
H182.81962.54953.47372.16764.17381.09195.21926.53144.13674.27803.06853.06682.52224.24434.75681.76041.76105.55025.03377.32276.96956.5702
H192.85633.12502.83054.28742.15785.40381.09212.14323.14312.21713.81014.52374.67033.04812.49256.35375.51305.55021.74732.48382.50873.0602
H202.78392.51043.44844.13732.14595.17411.09422.14974.11143.05444.25374.72004.20482.50733.05046.09345.55435.03371.74732.49373.06542.5136
H214.74344.84205.19765.97043.48477.26542.17301.09045.44814.68246.19336.21675.94233.72243.77788.09627.62127.32272.48382.49371.76121.7619
H224.25554.73054.72105.22052.80016.66302.16831.09164.65724.48555.80235.18545.20803.06182.60047.37387.00956.96952.50873.06541.76121.7598
H234.21284.35175.12345.10442.79526.48472.16871.09165.36854.96016.11085.36604.79932.52423.14677.15747.05006.57023.06022.51361.76191.7598

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 110.548 C1 C3 H10 111.779
C1 C3 H11 111.750 C1 C4 C6 115.031
C1 C4 H12 108.791 C1 C4 H13 108.333
C1 C5 C7 115.488 C1 C5 H14 108.509
C1 C5 H15 108.911 H2 C1 C3 107.894
H2 C1 C4 107.500 H2 C1 C5 107.631
C3 C1 C4 111.753 C3 C1 C5 111.810
C4 C1 C5 110.046 C4 C6 H16 110.960
C4 C6 H17 112.207 C4 C6 H18 111.053
C5 C7 C8 112.655 C5 C7 H19 110.152
C5 C7 H20 109.092 C6 C4 H12 109.598
C6 C4 H13 108.784 C7 C5 H14 108.378
C7 C5 H15 109.269 C7 C8 H21 111.586
C7 C8 H22 111.133 C7 C8 H23 111.167
C8 C7 H19 109.114 C8 C7 H20 109.503
H9 C3 H10 107.717 H9 C3 H11 107.716
H10 C3 H11 107.126 H12 C4 H13 105.908
H14 C5 H15 105.853 H16 C6 H17 107.238
H16 C6 H18 107.538 H17 C6 H18 107.627
H19 C7 H20 106.111 H21 C8 H22 107.636
H21 C8 H23 107.694 H22 C8 H23 107.431
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at mPW1PW91/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.036      
2 H 0.066      
3 C -0.276      
4 C -0.139      
5 C -0.129      
6 C -0.280      
7 C -0.151      
8 C -0.271      
9 H 0.079      
10 H 0.090      
11 H 0.090      
12 H 0.074      
13 H 0.075      
14 H 0.072      
15 H 0.072      
16 H 0.089      
17 H 0.087      
18 H 0.082      
19 H 0.082      
20 H 0.075      
21 H 0.087      
22 H 0.082      
23 H 0.081      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.001 -0.019 -0.070 0.072
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å
Primitive
 xyz
x -49.285 0.395 -0.259
y 0.395 -48.497 0.294
z -0.259 0.294 -47.968
Traceless
 xyz
x -1.053 0.395 -0.259
y 0.395 0.129 0.294
z -0.259 0.294 0.923
Polar
3z2-r21.846
x2-y2-0.788
xy0.395
xz-0.259
yz0.294


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 15.053 -0.018 0.068
y -0.018 11.995 -0.096
z 0.068 -0.096 11.141


<r2> (average value of r2) Å2
<r2> 358.818
(<r2>)1/2 18.942