• Archives of Plastic Surgery
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• v.36 no.2
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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.

• Archives of Craniofacial Surgery
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• v.13 no.1
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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.

• Journal of the Korean Chemical Society
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• v.23 no.3
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• pp.125-131
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• 1979

A method for calculation of two center overlap integrals for a pair of Slater type orbitals was developed by Mulliken et al. In this method the spherical polar coordinates for a pair of Slater type orbitals located at two different points are required to be transformed into a spheroidal coordinate set for calculation of two center overlap integrals. A new method, the expansion method for spherical harmonics, in which Slater type orbitals, located at two different points, are expressed in a common coordinate system has been applied for computation of two center overlap integrals. The new method for computation of two center overlap integrals is required to translate Slater type orbitals centered at two different points into the reference point for computation of two center overlap integrals. This work has been expanded the expansion method for spherical harmonics for computation of two center overlap integrals to $|3s{\g}$, $|5s{\g}$ and $|5s{\g}$. Master formulas for two center overlap integrals are derived for these orbitals, using the general expansion formulas. The numerical values of the two center overlap integrals evaluated for a hypothetical NO molecule are in agreement with those of the previous works.

• Journal of the Korean Chemical Society
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• v.23 no.5
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• pp.296-306
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• 1979

Operator technique has been applied for calculation of the quadrupole moment matrix-elements. Master formulas for the quadrupole moment matrix elements for pairs of Slater type, orbitals are derived, one using the expansion method for spherical harmonics and the other the transformed of the quadrupole moment matrix elements into overlap integrals for Mulliken. The numerical values of the quadrupole moment matrix elements evaluated by two methods are in agreement with each other and the calculated quadrupole moment for the ground state of HCl molecule is also in agreement with that of Nesbet.

• Korean Journal of Cleft Lip And Palate
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• v.15 no.1
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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.

• Journal of the Korean institute of surface engineering
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• v.42 no.1
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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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• v.7 no.4
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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.

• Journal of the Korean Chemical Society
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• v.40 no.4
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• pp.219-228
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• 1996

An ab initio molecular orbital method has been applied to investigation of molecular properties and equilibrium geometries for hexahydroxybenzene triscarbonate (C9O9) and its analogous cyclic compounds (C9S9, C9O6S3, C9O3S6). In these works, the optimized geometry of each compound has been obtained at HF and MP2 levels. These results have shown that the optimized geometries of these compounds prefer D3h planar structure to C3v bowl structure. Calculations of harmonic vibrational frequencies have been also carried out at HF/3-21G* level to analyze normal modes of these compounds. Bonding characters of these compounds are studied by Mulliken and natural populations obtained at HF/6-31G* level. We have also studied the structures and the populations of C6O6 and C6S6 at HF and MP2 levels which are obtained by pyrolyses of C9O9 and analogous compounds. In addition, the single point calculations have been performed to predict the approximate energy barrier for pyrolysis of each compound.

• Proceedings of the Materials Research Society of Korea Conference
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• 1994.11a
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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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• v.49 no.4
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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.