캘릭스[n]아렌 (1-4)의 다양한 이형체들에 대한 구조들이 DFT B3LYP/6-31+G(d,p) 와 mPW1PW91/ 6-31+G(d,p) (hybrid HF-DF) 계산 방법들에 의하여 최적화 되었다. 모든 캘릭스[n]아렌 (1-4)의 다양한 이형체들 중에서, 수소결합들의 영향으로, cone 이형체가 가장 안정하였다. 그러나, 이형체들의 상대적인 안정성은 다음과 같이 서로 달랐다. 1. t-부틸캘릭스[4]아렌(1): cone > partial-cone > 1,2-alternate > 1,3-alternate. 2. t-부틸캘릭스[5]아렌(2): cone > 1,2-alternate > partial-cone > 1,3-alternate. 3. 탈부틸화된 캘릭스[6]아렌(3): cone(pinched) > partial-cone > cone(winged) ~ 1,2-alternate - 1,2,3-alternate > 1,4-alternate > 1,3-alternate > 1,3,5-alternate. 4. t-부틸캘릭스[6]아렌(4): cone(pinched) > 1,2-alternate > cone(winged) > 1,4-alternate - partial-cone > 1,2,3-alternate > 1,3,5-alternate > 1,3-alternate. 분자 내부의 수소결합의 개수와 강도들이 캘릭스[n]아렌의 다양한 이형체들의 상대적인 안정성에 가장 영향을 많이 미치는 인자들이었다. 두 가지 서로 다른 계산방법들 (B3LYP과 mPW1PW91)에 대한 여러 가지 이형체들에서의 수소결합 길이들이 비교되었다.
We have performed mPW1PW91 calculations to investigate the conformational characteristics and hydrogen bonds of p-tert-butylcalix[4]arene (1), p-tert-butylcalix[5]arene (2), calix[6]arene (3) and p-tertbutylcalix[6]arene (4). The structures of the different conformers of 1-3 were optimized by using mPW1PW91/6-31+G(d,p) method. The relative stability of the four conformers of 1 is in the following order: cone (most stable) > partial-cone > 1,2-alternate > 1,3-alternate. The relative stability of the conformers of 2 is in the following order: cone (most stable) > 1,2-alternate > partial-cone > 1,3-alternate. The relative stability of the various conformers of 3 is in the following order: cone (pinched: most stable) > partial-cone > cone (winged) - 1,2-alternate - 1,2,3-alternate > 1,4-alternate > 1,3-alternate > 1,3,5-alternate. The structures of the various conformers of 4 were optimized by using the mPW1PW91/6-31G(d,p) method followed by single point calculation of mPW1PW91/6-31+G(d,p). The relative stability of the conformers of 4 is in the following order: cone (pinched) > 1,2-alternate > cone (winged) > 1,4-alternate - partial-cone > 1,2,3-alternate > 1,3,5-alternate > 1,3-alternate. The primary factor affecting the relative stabilities of the various conformers of the 1-4 are the number and strength of the intramolecular hydrogen bonds. The hydrogen-bond distances are discussed based on two different calculation methods (B3LYP and mPW1PW91).
