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: TPSSh/cc-pVTZ

19 10 17 12 22

States and conformations

State Conformation minimum conformation conformer description state description
1 1 yes C1 1A
1 2 no    

Conformer 1 (C1)

Jump to S1C2
Energy calculated at TPSSh/cc-pVTZ
 hartrees
Energy at 0K-276.513180
Energy at 298.15K-276.530259
HF Energy-276.513180
Nuclear repulsion energy322.363214
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 TPSSh/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 3095 2997 34.72      
2 A 3088 2990 83.48      
3 A 3084 2986 35.50      
4 A 3081 2983 83.82      
5 A 3081 2983 26.78      
6 A 3080 2982 35.11      
7 A 3048 2951 33.72      
8 A 3033 2937 25.54      
9 A 3020 2924 24.61      
10 A 3017 2922 32.00      
11 A 3017 2921 36.40      
12 A 3016 2921 27.89      
13 A 3008 2913 36.97      
14 A 3001 2906 35.49      
15 A 2987 2892 12.07      
16 A 2973 2879 7.36      
17 A 1523 1475 6.94      
18 A 1519 1471 6.64      
19 A 1516 1468 2.71      
20 A 1509 1462 4.25      
21 A 1508 1460 1.43      
22 A 1507 1459 7.54      
23 A 1503 1455 0.69      
24 A 1496 1449 0.00      
25 A 1485 1438 0.17      
26 A 1418 1373 5.08      
27 A 1416 1371 1.26      
28 A 1413 1368 2.81      
29 A 1388 1344 0.71      
30 A 1377 1334 0.36      
31 A 1373 1330 2.27      
32 A 1336 1293 0.07      
33 A 1327 1285 0.81      
34 A 1302 1261 0.93      
35 A 1284 1244 0.55      
36 A 1259 1219 2.64      
37 A 1201 1163 0.02      
38 A 1174 1137 5.57      
39 A 1168 1131 0.27      
40 A 1083 1048 1.61      
41 A 1056 1022 0.31      
42 A 1038 1006 0.08      
43 A 1026 993 0.35      
44 A 988 957 3.91      
45 A 963 932 1.91      
46 A 932 902 1.85      
47 A 878 850 0.87      
48 A 858 831 0.46      
49 A 815 789 0.12      
50 A 766 742 2.78      
51 A 732 709 1.66      
52 A 486 471 0.13      
53 A 419 406 0.11      
54 A 363 352 0.12      
55 A 309 299 0.02      
56 A 279 270 0.00      
57 A 252 244 0.00      
58 A 235 228 0.00      
59 A 210 203 0.03      
60 A 144 140 0.01      
61 A 106 102 0.01      
62 A 75 72 0.00      
63 A 66 64 0.02      

Unscaled Zero Point Vibrational Energy (zpe) 47353.2 cm-1
Scaled (by 0.9683) Zero Point Vibrational Energy (zpe) 45852.1 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 TPSSh/cc-pVTZ
ABC
0.19257 0.03640 0.03281

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 -0.573 0.154 -0.174
H2 -0.579 0.087 -1.272
C3 -0.787 1.621 0.212
C4 -1.718 -0.736 0.347
C5 0.796 -0.362 0.315
C6 -3.074 -0.504 -0.321
C7 2.012 0.175 -0.445
C8 3.337 -0.406 0.047
H9 -0.804 1.731 1.302
H10 0.008 2.264 -0.175
H11 -1.731 2.012 -0.176
H12 -1.814 -0.584 1.431
H13 -1.432 -1.787 0.210
H14 0.806 -1.459 0.248
H15 0.905 -0.120 1.381
H16 -3.823 -1.219 0.032
H17 -3.466 0.497 -0.118
H18 -3.000 -0.615 -1.407
H19 2.048 1.268 -0.364
H20 1.888 -0.049 -1.512
H21 4.192 0.002 -0.502
H22 3.493 -0.188 1.108
H23 3.358 -1.494 -0.071

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
C11.10101.53251.54091.54182.59082.59913.95602.17162.18912.19002.15822.15632.16272.16223.53472.91442.82882.85442.80894.77884.27694.2632
H21.10102.14452.14442.14752.73552.72124.16173.06202.50752.49683.04672.53702.57293.04743.73313.13642.52413.02022.48244.83384.72504.4093
C31.53252.14452.53832.53993.16723.21854.59861.09551.09301.09312.72133.46853.46782.69494.16182.92433.53782.91493.59445.28474.73295.1929
C41.54092.14442.53832.54171.52923.92075.07532.79853.50052.79741.09851.09762.62732.88622.18272.18902.17564.32524.11526.01675.29535.1495
C51.54182.14752.53992.54173.92441.53172.55622.81262.78573.50212.84642.64601.09851.09884.70634.36924.17532.16492.15223.51262.81722.8276
C62.59082.73553.16721.52923.92445.13306.42303.57484.14522.85542.15932.15064.03624.34491.09431.09341.09495.42065.12397.28666.72876.5130
C72.59912.72123.21853.92071.53175.13301.52823.66052.90794.17864.32794.01702.14572.15606.01865.49755.16381.09631.09762.18802.17692.1762
C83.95604.16174.59865.07532.55626.42301.52824.82554.27365.62025.33664.96782.74932.78937.20686.86526.50492.15152.15831.09451.09471.0947
H92.17163.06201.09552.79852.81263.57483.66054.82551.76741.76752.52903.73593.72442.51984.40803.25994.20233.33504.28165.58594.70995.4406
H102.18912.50751.09303.50052.78574.14522.90794.27361.76741.75743.74314.31633.83102.98515.18233.89834.34182.27893.26744.76834.45095.0357
H112.19002.49681.09312.79743.50212.85544.17865.62021.76751.75743.05463.82994.32003.73103.85502.30413.16593.85704.37436.26415.81286.1809
H122.15823.04672.72131.09852.84642.15934.32795.33662.52903.74313.05461.75553.00392.75832.52942.50983.07584.64384.75946.33645.33145.4616
H132.15632.53703.46851.09762.64602.15064.01704.96783.73594.31633.82991.75552.26183.10022.46433.07582.53884.66574.12405.94455.25544.8070
H142.16272.57293.46782.62731.09854.03622.14572.74933.72443.83104.32003.00392.26181.75684.64034.71254.23473.05792.50173.76363.09462.5725
H152.16223.04742.69492.88621.09884.34492.15602.78932.51982.98513.73102.75833.10021.75685.03834.66214.82342.50553.05713.79072.60373.1648
H163.53473.73314.16182.18274.70631.09436.01867.20684.40805.18233.85502.52942.46434.64035.03831.75921.76526.38906.03138.12587.46697.1874
H172.91443.13642.92432.18904.36921.09345.49756.86523.25993.89832.30412.50983.07584.71254.66211.75921.76495.57375.55987.68427.09997.1088
H182.82882.52413.53782.17564.17531.09495.16386.50494.20234.34183.16593.07582.53884.23474.82341.76521.76495.48764.92157.27496.97616.5556
H192.85443.02022.91494.32522.16495.42061.09632.15153.33502.27893.85704.64384.66573.05792.50556.38905.57375.48761.75472.49362.52463.0700
H202.80892.48243.59444.11522.15225.12391.09762.15834.28163.26744.37434.75944.12402.50173.05716.03135.55984.92151.75472.51663.07642.5149
H214.77884.83385.28476.01673.51267.28662.18801.09455.58594.76836.26416.33645.94453.76363.79078.12587.68427.27492.49362.51661.76561.7658
H224.27694.72504.73295.29532.81726.72872.17691.09474.70994.45095.81285.33145.25543.09462.60377.46697.09996.97612.52463.07641.76561.7646
H234.26324.40935.19295.14952.82766.51302.17621.09475.44065.03576.18095.46164.80702.57253.16487.18747.10886.55563.07002.51491.76581.7646

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 110.336 C1 C3 H10 111.884
C1 C3 H11 111.955 C1 C4 C6 115.099
C1 C4 H12 108.542 C1 C4 H13 108.449
C1 C5 C7 115.477 C1 C5 H14 108.834
C1 C5 H15 108.773 H2 C1 C3 107.918
H2 C1 C4 107.347 H2 C1 C5 107.527
C3 C1 C4 111.354 C3 C1 C5 111.407
C4 C1 C5 111.073 C4 C6 H16 111.529
C4 C6 H17 112.093 C4 C6 H18 110.924
C5 C7 C8 113.315 C5 C7 H19 109.819
C5 C7 H20 108.752 C6 C4 H12 109.428
C6 C4 H13 108.804 C7 C5 H14 108.208
C7 C5 H15 108.981 C7 C8 H21 112.014
C7 C8 H22 111.112 C7 C8 H23 111.057
C8 C7 H19 109.020 C8 C7 H20 109.472
H9 C3 H10 107.722 H9 C3 H11 107.723
H10 C3 H11 107.011 H12 C4 H13 106.145
H14 C5 H15 106.172 H16 C6 H17 107.059
H16 C6 H18 107.483 H17 C6 H18 107.515
H19 C7 H20 106.219 H21 C8 H22 107.508
H21 C8 H23 107.526 H22 C8 H23 107.407
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C 0.007      
2 H 0.038      
3 C -0.223      
4 C -0.090      
5 C -0.076      
6 C -0.238      
7 C -0.108      
8 C -0.231      
9 H 0.058      
10 H 0.070      
11 H 0.070      
12 H 0.049      
13 H 0.053      
14 H 0.046      
15 H 0.043      
16 H 0.073      
17 H 0.071      
18 H 0.066      
19 H 0.063      
20 H 0.055      
21 H 0.073      
22 H 0.067      
23 H 0.066      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  0.003 -0.018 -0.071 0.073
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 15.431 -0.017 0.071
y -0.017 12.192 -0.097
z 0.071 -0.097 11.286


<r2> (average value of r2) Å2
<r2> 361.849
(<r2>)1/2 19.022

Conformer 2 ()

Jump to S1C1
Energy calculated at TPSSh/cc-pVTZ
 hartrees
Energy at 0K-276.512014
Energy at 298.15K 
HF Energy-276.512014
Nuclear repulsion energy327.004901
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 TPSSh/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 3094 2996 33.36      
2 A 3088 2990 64.47      
3 A 3086 2988 61.63      
4 A 3082 2984 53.02      
5 A 3080 2982 66.22      
6 A 3079 2982 8.96      
7 A 3045 2948 48.13      
8 A 3033 2937 59.41      
9 A 3026 2930 13.18      
10 A 3020 2924 36.95      
11 A 3019 2923 32.24      
12 A 3017 2921 15.99      
13 A 3014 2918 10.60      
14 A 3000 2905 57.28      
15 A 2990 2895 9.34      
16 A 2987 2892 2.91      
17 A 1526 1477 5.92      
18 A 1517 1469 10.05      
19 A 1515 1467 1.14      
20 A 1512 1464 4.75      
21 A 1509 1461 3.47      
22 A 1508 1460 4.82      
23 A 1500 1452 1.34      
24 A 1493 1446 1.05      
25 A 1485 1438 0.13      
26 A 1418 1373 6.97      
27 A 1416 1371 3.17      
28 A 1412 1367 2.77      
29 A 1386 1342 3.40      
30 A 1383 1339 0.51      
31 A 1367 1324 0.66      
32 A 1364 1321 3.42      
33 A 1324 1282 2.33      
34 A 1301 1260 1.54      
35 A 1281 1240 0.21      
36 A 1259 1219 0.29      
37 A 1189 1152 0.07      
38 A 1177 1139 3.02      
39 A 1165 1128 4.64      
40 A 1076 1042 0.29      
41 A 1067 1033 0.40      
42 A 1039 1006 0.21      
43 A 1019 986 0.38      
44 A 981 950 2.23      
45 A 962 931 3.82      
46 A 920 891 2.23      
47 A 871 844 0.84      
48 A 847 820 0.76      
49 A 825 798 0.78      
50 A 764 740 1.67      
51 A 731 708 3.59      
52 A 471 456 0.08      
53 A 427 414 0.19      
54 A 398 386 0.12      
55 A 332 321 0.10      
56 A 292 283 0.00      
57 A 246 238 0.01      
58 A 240 233 0.01      
59 A 212 205 0.03      
60 A 180 174 0.01      
61 A 123 119 0.04      
62 A 77 74 0.00      
63 A 43 42 0.01      

Unscaled Zero Point Vibrational Energy (zpe) 47401.9 cm-1
Scaled (by 0.9683) Zero Point Vibrational Energy (zpe) 45899.2 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 TPSSh/cc-pVTZ
ABC
0.15302 0.04104 0.03925

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

Point Group is C1

Cartesians (Å)
Atom x (Å) y (Å) z (Å)
C1 0.394 0.064 0.041
H2 0.197 -0.187 1.090
C3 0.506 1.588 -0.071
C4 1.704 -0.636 -0.358
C5 -0.761 -0.488 -0.813
C6 2.897 -0.327 0.549
C7 -2.167 0.021 -0.466
C8 -2.620 -0.313 0.957
H9 0.690 1.886 -1.108
H10 -0.409 2.083 0.262
H11 1.326 1.973 0.540
H12 1.950 -0.363 -1.391
H13 1.532 -1.717 -0.359
H14 -0.757 -1.581 -0.731
H15 -0.553 -0.259 -1.865
H16 3.769 -0.915 0.254
H17 3.183 0.726 0.507
H18 2.670 -0.570 1.591
H19 -2.224 1.102 -0.622
H20 -2.872 -0.423 -1.177
H21 -3.654 0.000 1.121
H22 -2.564 -1.390 1.144
H23 -2.002 0.186 1.707

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
C11.09671.53231.53791.53822.58452.61073.17232.17432.18412.18262.15782.15102.15052.15243.52132.90442.82562.89273.51864.18933.47502.9203
H21.09672.14332.13782.15192.75752.83812.82293.06132.49142.49883.04352.49472.48383.04993.74043.17642.55153.23313.82263.85543.01202.3139
C31.53232.14332.54172.54243.12533.12393.80041.09471.09201.09192.76323.47233.47462.78404.12542.87043.47782.82694.08364.60914.44583.3786
C41.53792.13782.54172.51091.53083.92774.53112.81893.49822.78471.09631.09532.66282.73982.17242.18852.17654.30294.65295.59434.58714.3211
C51.53822.15192.54242.51093.90711.53472.57292.79752.80853.49842.77502.64081.09641.09674.67394.33224.18992.16872.14263.51362.80962.8885
C62.58452.75753.12531.53083.90715.17695.53243.53744.10112.78592.15982.15024.07034.21181.09261.09201.09375.44416.02236.58405.59555.0600
C72.61072.83813.12393.92771.53475.17691.53073.47192.80644.12584.23734.08802.14992.15396.05275.48315.28901.09421.09462.17472.17682.1858
C83.17232.82293.80044.53112.57295.53241.53074.47853.33414.57925.13854.57612.81523.49866.45605.91225.33352.15732.15181.09251.09371.0925
H92.17433.06131.09472.81892.79753.53743.47194.47851.76671.76772.59343.77493.77572.59184.37973.18804.15103.05624.24515.23365.13694.2496
H102.18412.49141.09203.49822.80854.10112.80643.33411.76671.75963.77884.31183.81203.16655.14253.84684.27532.24433.79683.95054.18122.8682
H112.18262.49881.09192.78473.49842.78594.12584.57921.76771.75963.09473.80384.31093.78043.79442.23723.06233.83455.12865.38725.17703.9532
H122.15783.04352.76321.09632.77502.15984.23735.13852.59343.77883.09471.75313.04142.54982.51442.51173.07494.49004.82676.15195.27825.0516
H132.15102.49473.47231.09532.64082.15024.08804.57613.77494.31183.80381.75312.32302.95662.45493.07352.53294.70324.66175.65944.37524.5140
H142.15052.48383.47462.66281.09644.07032.14992.81523.77573.81204.31093.04142.32301.75434.68014.73064.26113.05962.45143.78382.61063.2577
H152.15243.04992.78402.73981.09674.21182.15393.49862.59183.16653.78042.54982.95661.75434.85864.53344.73572.48762.42394.31243.79173.8802
H163.52133.74044.12542.17244.67391.09266.05276.45604.37975.14253.79442.51442.45494.68014.85861.76151.76546.38386.81117.52936.41326.0521
H172.90443.17642.87042.18854.33221.09205.48315.91223.18803.84682.23722.51173.07354.73064.53341.76151.76605.53566.38826.90226.15695.3489
H182.82562.55153.47782.17654.18991.09375.28905.33354.15104.27533.06233.07492.53294.26114.73571.76541.76605.62446.19576.36625.31624.7333
H192.89273.23312.82694.30292.16875.44411.09422.15733.05622.24433.83454.49004.70323.05962.48766.38385.53565.62441.74762.50913.07272.5124
H203.51863.82264.08364.65292.14266.02231.09462.15184.24513.79685.12864.82674.66172.45142.42396.81116.38826.19571.74762.46402.53293.0732
H214.18933.85544.60915.59433.51366.58402.17471.09255.23363.95055.38726.15195.65943.78384.31247.52936.90226.36622.50912.46401.76611.7627
H223.47503.01204.44584.58712.80965.59552.17681.09375.13694.18125.17705.27824.37522.61063.79176.41326.15695.31623.07272.53291.76611.7649
H232.92032.31393.37864.32112.88855.06002.18581.09254.24962.86823.95325.05164.51403.25773.88026.05215.34894.73332.51243.07321.76271.7649

picture of 3-methylhexane state 1 conformation 2
More geometry information
Calculated Bond Angles
atom1 atom2 atom3 angle atom1 atom2 atom3 angle
C1 C3 H9 110.619 C1 C3 H10 111.557
C1 C3 H11 111.447 C1 C4 C6 114.750
C1 C4 H12 108.844 C1 C4 H13 108.372
C1 C5 C7 116.332 C1 C5 H14 108.251
C1 C5 H15 108.382 H2 C1 C3 108.075
H2 C1 C4 107.285 H2 C1 C5 108.341
C3 C1 C4 111.755 C3 C1 C5 111.792
C4 C1 C5 109.422 C4 C6 H16 110.697
C4 C6 H17 112.026 C4 C6 H18 110.959
C5 C7 C8 114.139 C5 C7 H19 110.037
C5 C7 H20 107.978 C6 C4 H12 109.484
C6 C4 H13 108.797 C7 C5 H14 108.442
C7 C5 H15 108.739 C7 C8 H21 110.893
C7 C8 H22 110.993 C7 C8 H23 111.787
C8 C7 H19 109.417 C8 C7 H20 108.970
H9 C3 H10 107.792 H9 C3 H11 107.891
H10 C3 H11 107.359 H12 C4 H13 106.251
H14 C5 H15 106.245 H16 C6 H17 107.474
H16 C6 H18 107.704 H17 C6 H18 107.797
H19 C7 H20 105.965 H21 C8 H22 107.772
H21 C8 H23 107.551 H22 C8 H23 107.665
Electronic energy levels
Charges, Dipole, Quadrupole and Polarizability
Charges from optimized geometry at TPSSh/cc-pVTZ Charges (e)
Number Element Mulliken CHELPG AIM ESP
1 C -0.001      
2 H 0.048      
3 C -0.224      
4 C -0.089      
5 C -0.085      
6 C -0.238      
7 C -0.119      
8 C -0.226      
9 H 0.059      
10 H 0.071      
11 H 0.069      
12 H 0.049      
13 H 0.053      
14 H 0.045      
15 H 0.046      
16 H 0.073      
17 H 0.071      
18 H 0.066      
19 H 0.060      
20 H 0.061      
21 H 0.073      
22 H 0.066      
23 H 0.072      


Electric dipole moments
Electric dipole components in Debye
(What's a Debye? See section VII.A.3)
  x y z Total
  -0.057 -0.046 -0.032 0.080
CHELPG        
AIM        
ESP        


Electric Quadrupole moment
Quadrupole components in D Å


Polarizabilities
Components of the polarizability tensor.
Units are Å3 (Angstrom cubed)
Change units.
  x y z
x 14.759 -0.070 0.044
y -0.070 12.033 0.049
z 0.044 0.049 11.782


<r2> (average value of r2) Å2
<r2> 327.499
(<r2>)1/2 18.097