• Archives of Plastic Surgery
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• 제36권2호
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• pp.174-182
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• 2009

Purpose: The Mulliken's method is a one of the very excellent technique to correction of the unilateral cleft lip. It could decrease the need of additional operation and second operation by the early simultaneous correction of unilateral cleft lip and nasal deformity, at a time. Numerous procedures were advocated for the correction of nasal deformity, but with general dissatisfaction of the results, it became obvious that no one procedure is the ideal one. The authors have been operating on unilateral cleft lip by Mulliken's method and long term follow - up of postoperative result was evaluated. Methods: The authors have done long term follow - up of result in the 75 cases unilateral cleft lip patient, during 1 ~ 7 years. That was repaired by simultaneous correction of cleft lip and nasal deformity by Mulliken's method at the period from June, 1997 to December, 2007. The patients were unilateral complete cleft lip 39 cases, unilateral incomplete cleft lip 36 cases. In the severe complete cleft lip cases, lip adhesion operation was done before definite operation. The mean age of unilateral cleft lip operation was 3.2 months. Five anthropometric parameters, which were upper lip, cutaneous lip and vermilion mucosa height, nasal tip protrusion, columella length were measured by Sliding Vernier Caliper. The anthropometric analysis was performed preoperative and postoperative at 6 months, 3, 5 and 7 years and the results were com pared with those of age - matched, normal children. T - tests were used to analyze the differences between the measurements. Results: Long - term postoperative results were evaluated by anthropometrically. Most patients showed adequate growth of upper lip height, vermilion mucosa height and columella length. But nasal tip protrusion was relatively short compare with normal value. Incomplete cleft lip group was nearly normal growth results than complete cleft lip group. Conclusion: In conclusion, we could make harmonious Cupid's bow, natural philtrum and lip, appropriate nasal shape by Mulliken's method. But nasal tip protrusion was under the normal values on complete and incomplete group. And incomplete group was more good results than complete group. We have experienced repair of cleft lip by Mulliken's method with 75 cases of unilateral cleft lip patients and conclude that it was very useful and good method.

• 대한두개안면성형외과학회지
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• 제13권1호
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• pp.11-21
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• 2012

Purpose: Mulliken's method allows for normal nasal and lip growth, which in turn forms a natural shape of the philtrum. Therefore, we used a modified Mulliken's method to correct unilateral and bilateral cleft lip nasal deformities and followed the patients for 10 years. Methods: Ninety-one patients, who had undergone repair of unilateral and bilateral cleft lip and nasal deformity simultaneously using Mulliken's method during the time period from June 1997 to June 2009, were enrolled into this study. To follow-up of the growth of the lips and nose after the operation, the following 5 anthropometric measurements were analyzed: nasal tip protrusion, columellar length, upper lip height, cutaneous lip height, and vermilion mucosa height. Results: Using this method, we obtained a result that there was no significant difference in the development of the lip compared to the normal control group, and that the bilateral cleft lip patients' nasal projection and columellar length was shorter than that in normal persons. Both measures were statistically significant. Conclusion: Mulliken's method is a superb surgical technique, which enables the normal development of the nose and lip, which further allows for the innate philtrum appearance. The author's result does not seem to be meaningful, because the normal rate of nasal growth is slow before adolescence; however, we recommend additional follow-up and accordant treatment, if needed, once the nasal growth is complete.

• 대한화학회지
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• 제23권3호
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• pp.125-131
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• 1979

한 쌍의 slater type orbitals에 대한 two overlap integrals을 계산하는 방법이 Mulliken등에 의하여 발전되었다. 이 방법으로 two center integrals을 계산하기 위해서는 한쌍의 Slater type orbital,에 대한 극좌표들 타원좌표로 변환해야한다. 두 점에 위치한 Slater type orbital을 공통좌표상에 전개시키는 새로운 방법 즉 spherical harmonics의 전개방법이 two center overlap integrals, 을 계산하는데 응용되었다. 이 새로운 방법에서는 Slater type orbitals, 을 기준점에 대해 전개시키는 것이 필요하다. 본 연구에서는 two center overlap integral을 계산하기 위한 spherical harmonics 전개방법을 $|3s{\g}$, $|5s{\g}$및 $|5s{\g}$에 까지 확장시켰다. 이들 원자궤도함수의 전개식을 사용하여 two center overlap integrals의 기본식을 유도하였으며, 이 기본식을 사용하여 가상적인 NO 분자에 대한 two cunter overlap integrals의 계산값이 이미 보고된 값과 일치하였다.

• 대한화학회지
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• 제23권5호
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• pp.296-306
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• 1979

연산자법을 사중극자모멘트행렬요소를 계산하는데 응용하였다. Spherical harmonics의 전개방법과 사중극자모멘트행렬요소를 Mulliken의 overlap integral 로 전환시키는 방법을 사용하여 Slater 궤도함수쌍에 대한 사중극자모멘트행렬요소이 기본식을 유도하였다. 두 방법에 의하여 계산한 사중극자모멘트행렬요소의 값이 일치하였으며 바닥상태의 HCl 분자에 대하여 계산한 사중극자모멘트의 값이 Nesbet의 값과 일치하였다.

• 대한구순구개열학회지
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• 제15권1호
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• pp.21-28
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• 2012

Unilateral cleft lip is not a simple and independent problem in all aspects. nasal deformity results from the cleft lip, maxillary hypoplasia, and abnormal muscular pull on the nasal structures, including abnormal muscular tension on the alar base and abnormal position of the orbicularis oris muscle. Its gross and histopathologic characteristics include widening of the alar base, a midline deviation of the columella and septum to the noncleft side, dorsal displacement of the dome, lateral rotation of medial crura, buckling of the alar cartilage, and underdevelopment of the pyriform aperture. Since Dr. Millard first presented his method for repair of the unilateral cleft lip and nasal deformity in 1955, no other technique has gained as much popularity as the rotation-advancement principle. Principles established more than 50 years ago and techniques are evolving continuously. Unlike earlier procedures, this repair gives the surgeon the opportunity to manipulate the individual cleft elements through various modifications while maintaining Millard's original surgical and anatomical goals. Although this strategy is applied worldwide, successful execution is variable and highly operator dependent. Millard and many other surgeons have made technical variations to adjust the procedure to each specific patient, to address some of its faults, and to gain new advantages. We will review the Mulliken's modifications that Dr. Millard made to his original rotation-advancement principle and inform cases applied modifying the rotation-advancement principle.

• 한국표면공학회지
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• 제42권1호
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• pp.8-12
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• 2009

Electronic structures and chemical bonding of Li-intercalated $LiTiS_2$ and $LiTiO_2$ were investigated by using discrete variational $X{\alpha}$ method as a first-principles molecular-orbital method. ${\alpha}-NaFeO_2$ structure is the equilibrium structure for $LiCoO_2$, which is widely used as a commercial cathode material for lithium secondary battery. The study especially focused on the charge state of Li ions and the magnitude of covalency around Li ions. The average voltage of lithium intercalation was calculated using pseudopotential method and the average intercalation voltage of $LiTiO_2$ was higher than that of $LiTiS_2$. It can be explained by the differences in Mulliken charge of lithium and the bond overlap population between the intercalated Li ions and anions in $LiTiO_2$ as well as $LiTiS_2$. The Mulliken charge, which means the ionicity of Li atom, was approximately 0.12 in $LiTiS_2$ and the bond overlap population (BOP) indicating the covalency between Ti and S was about 0.339. One the other hands, the Mulliken charge of lithium was about 0.79, which means that Li is fully ionized. The BOP, the covalency between Ti and O, was 0.181 in $LiTiO_2$. Because of high ionicity of Li and the weak covalency between Ti and the nearest anion, $LiTiO_2$ has a higher intercalation voltage than that of $LiTiS_2$.

• Bulletin of the Korean Chemical Society
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• 제7권4호
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• pp.299-304
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• 1986

Master formulas for overlap integrals and the dipole moments involving |4p > atomic orbitals have been derived by the expansion method for spherical harmonics. The radial integrals for the hyperfine interaction have also been derived for |4p > atomic orbitals. The calculated values of the overlap integrals and dipole moment matrix elements by the expansion method for spherical harmonics for a hypothetical NO molecule are exactly in agreement with those of Mulliken's method. The radial integrals for the hyperfine interaction may be used to calculate the chemical shift for |4p > atomic orbitals.

• 대한화학회지
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• 제40권4호
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• pp.219-228
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• 1996

ab initio 방법을 이용하여 hexahydroxbenzene triscarbonate($C_9O_9$)와 이와 유사한 화합물($C_9O_9,C_9O_6S_3,C_9O_3S_9$)들의 평형구조(equilibrium geometry)와 에너지를 HF와 MP2 level에서 구하였다. 계산결과 이들 화합물은 모드 $C_{3v}$ bowl형 구조보다는 $D_{3h}$ 평면형구조가 더 안정함을 알 수 있었다. $HF/3-21G^*$ level에서 조화진동수(harmonic vibrational frequency)를 계산하였고 각각의 진동방식(vibrational mode)을 비교, 분석하였으며, $HF/63G^*$ level에서 구한 Mulliken population과 natural population을 이용하여 화합물들의 결합특성에 대하여 연구하였다. 또한 이들 화합물들의 열분해 의해서 생성되는 $C_6O_6$과 $C_6S_6$의 전자구조와 결합특성에 대한 연구를 HF와 MP2 level에서 하였다. 그리고 화합물들이 열분해하여 $C_6O_6,\;C_6S_6$, CO, 그리고 CS로 분리될 때의 필요한 에너지를 $HF/3-21G^*$ level에서 계산하여 열분해에 필요한 대략적인 에너지 장벽을 예상하여 보았다.

• 한국재료학회:학술대회논문집
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• 한국재료학회 1994년도 추계 학술발표 강연 및 논문 개요집
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• pp.1-1
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• 1994

;The electronic state calculations for various types of ceramic materials have beell performed by the use of $DV-X\;{\alpha}$ cluster method. The molecular orbital levels and wave functions for model clusters have been computed to study the electronic properties ami chemical bonding of the ceramics. For ${\beta}-sialon(Si_{6-z}Al_zO_zN_{8-z})$ which is a high temperature structural material based on ${\beta}-Si_3N_4$, we have made model cluster calculations to estimate the strength of chemical bonding between atoms by the Mulliken population analysis. It is found that the covalent bonding between Si and N atoms is very strong in pure ${\beta}-Si_3N_4$, but the covalency around solute atom is considerably weakened when Si atom is substituted by AI. This tendency is enhanced by an additional substitution of oxygen atom for N. The result calculated can well explain the experimental data of changes in mechanical properties such as the reductions of Young's modulus and Vickers hardness with increment of z-value in ${\beta}-sialon$. Various model clusters for transition metal oxides which show many interesting physical and chemical properties have also been calculated. High-valent perovskite-type iron oxides EMFe0_3E(M=Ca and Sr) possess very interesting magnetic and chemical properties. In these oxides, iron exists as $Fe^{4+}$ state, but the experimental measurement of Mossba~er effect suggests that disproportionation $2Fe^{4+}=Fe^{3+}+Fe^{5+}$ takes place for $CaFe0_3$ at low temperatures. The model cluster calculations for these compounds indicated the existence of considerably strong covalent bonding of Fe-O. The calculations of hyperfine interaction at iron neucleus show very good agreement with the experimental Mossbauer measurements. The result calculated also implies that the disproportionation reaction is strongly possible by assuming the quenching of breathing phonon mode at low temperatures.tures.

• Archives of Plastic Surgery
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• 제49권4호
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• pp.510-516
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• 2022

Background Surgical correction of bilateral cleft lip deformities remains one of the most challenging areas in facial plastic surgery. Many surgical techniques and conservative devices have been offered for the early management of bilateral cleft lip in infants. The purpose of this study was to evaluate the effect of lip adhesion on the lip and nose of patients with bilateral cleft lip. Methods A retrospective review of 13 patients with bilateral cleft lip was performed and compared with age-matched noncleft children. Patients underwent lip adhesion at a mean age of 2.8 months, and cheiloplasty at 6.6 months of age using a modification the Mulliken method. Secondary rhinoplasty was performed at the age of 6 in 13 patients. The surgical results were analyzed using photographic records obtained at the age of 1 and 7 years. Twelve length measurements and one angle measurement were obtained. Results All measurements were not statistically different from those of the noncleft age-matched control group at the age of 1. At 7 years of age, upper lip height and vermilion mucosal height were shorter (p < 0.05) than in the control group. Nasal tip protrusion and the nasolabial angle were greater (p < 0.05) than in the control group. Conclusion Lip adhesion followed by secondary rhinoplasty resulted in an acceptable lip and nasal appearance. Although nasoalveolar molding is now widely used, lip adhesion can be an appropriate alternative if an orthodontist is not available due to geographical or economic constraints.