• Title/Summary/Keyword: 부피

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Free-Volume Theory for Diffusion (자유 부피 확산 이론)

  • 홍성욱
    • Membrane Journal
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    • v.8 no.1
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    • pp.1-10
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    • 1998
  • 액체 상태에서 물질이 확산되는 현상을 자유 부피의 개념으로 해석하고자 하는 노력은 1959년에 Cohen과 Turnbull에 의해서 시작되었다. 그들은 액체의 부피를 두 부분으로 나누었는데, 하나는 분자가 차지하고 있는 점유 부피(Occupied volume)이고, 다른 하나는 자유 부피(Free-volume)로서 무작정한 열적 유동에 의해서 재분배된다. 온도의 변화에 의해 부피가 변하는 것은 이 자유 부피의 변화때문이며, 점유 부피는 온도에는 무관함 것으로 갖주하였다. 분자가 액체 상태에서 이동하려면 이웃에 충분한 크기의 자유 부피 공간이 존재해야한다. 따라서, 분자의 확산은 분자가 이들 자유 부피 공간들로 도약하는 것이다. Cohen-Turnbull의 이론에서는 순수한 액체의 자기 확산 계수(Self-diffusion conefficient)는 자유 부피의 무작정한 유동에 의하여 임계 크기의 공간이 생성되는 확률과 관련이 있다. Cohen-Turnbull 자유 부피 이론은 그 후 많은 사람들에 의해서 수정되었고, 그중에서 현재 가장 널리 사용되는 것은 Fujita의 이론과 Vrentas-Duda의 이론이다. 두 이론 모두 확산 데이터를 correlation하는데는 문제가 없으나, Vrentas-Duda의 이론만이 확산계수를 예측할 수 있는 능력이 있다. 또한, 고분자와 용매의 도약 단위의 몰 질량이 같을때에 Vrentas-Duda의 이론은 Fujita의 이론과 같아지므로, Fujita의 이론은 Vrentas-Duda의 이론의 특수한 경우라고 할 수 있다. 따라서, 본 논문에서는 Vrentas-Duda 자유 부피 이론만을 다루기로 하겠다.

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College Students' Misconception about the Volume Change of Solution during Acid/Base Titration: Partial Molar Volume of Salt (산·염기 적정에서 용액의 부피 변화에 대한 대학생들의 오개념 연구)

  • Jang, Nak Han
    • Journal of Science Education
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    • v.33 no.2
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    • pp.317-320
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    • 2009
  • I investigated Korean college students' conception about the volume change of solution when they detected the equivalence point during acid/base titration experiment using method of volume measurement. According to this study, most college students had a misconception that the volume increment was due to the formation of water by neutralization during acid/base titration. However, this is not enough to explain the volume change, neglecting contribution of a salt in solution. I calculated the partial molar volume of NaCl formed to explain the volume increment of solution during HCl/NaOH neutralization. Comparing the result of experiment with the calculation of partial molar volume, I elucidated that the main effect of volume increment was due to the partial molar volume of NaCl formed during HCl/NaOH neutralization. Here I propose to introduce college students to the concept of partial molar volume of the salt formed to reduce misconception about the volume change of solution during acid/base neutralization.

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Axioms underlying area of triangle and volume of triangular pyramid and Hilbert't third problem (삼각형의 넓이와 삼각뿔의 부피에 내재된 공리와 힐베르트의 세 번째 문제)

  • Do, Jonghoon
    • Journal of the Korean School Mathematics Society
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    • v.18 no.4
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    • pp.371-385
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    • 2015
  • In this paper we investigate the axioms defining area and volume so that revisit area formula for triangle, volume formula for triangular pyramid, and related contents in school mathematics from the view point of axiomatic method and Hilbert's third problem.

An Experimental Study on the Bulking Factor of Rock Mass for Subsidence Behavior Analysis (지반침하 거동특성 분석을 위한 암반의 부피팽창률에 관한 연구)

  • Lee, Hee-Joong;Jung, Yong-Bok;Choi, Sung-O.
    • Tunnel and Underground Space
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    • v.18 no.1
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    • pp.33-43
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    • 2008
  • The techniques for measuring the bulking factor of rock mass in subsidence area have never been well known all over the world. The volumetric expansion ratios obtained from blasting operation were the only way of acquiring the bulking factor of rock mass. The bulking factor of rock mass obtained from blasting operation, however, has been seldom classified in a certain criterion. Also the bulking factor of rock mass can be very dependent upon rock types. In order to overcome this limitation obtained from these reasons, the authors studied the experimental bulking factor of rock mass according to the stacking shapes as well as the overburden stresses. Gneiss, limestone and shale were chosen for testing specimens, and each bulking factor has been measured with laboratory test of applying a constant load on the fragmented rock specimens.

A Design of Teaching Unit to Foster Secondary Pre-service Teachers' Mathematising Ability: Inquiry into n-volume of n-simplex (예비중등교사의 수학화 능력을 신장하기 위한 교수단원의 설계: n-단체(simplex)의 n-부피 탐구)

  • Kim Jin-Hwan;Park Kyo-Sik
    • School Mathematics
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    • v.8 no.1
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    • pp.27-43
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    • 2006
  • The objective of this paper is to design teaching units to foster secondary pre-service teachers' mathematising abilities. In these teaching units we focus on generalizing area of a 2-dimensional triangle and volume of a 3-dimensional tetrahedron to n-volume of n-simplex In this process of generalizing, principle of the permanence of equivalent forms and Cavalieri's principle are applied. To find n-volume of n-simplex, we define n-orthogonal triangular prism, and inquire into n-volume of it. And we find n-volume of n-simplex by using vectors and determinants. Through these teaching units, secondary pre-service teachers can understand and inquire into n-simplex which is generalized from a triangle and a tetrahedron, and n-volume of n-simplex which is generalized from area of a triangle and volume of a tetrahedron. They can also promote natural connection between school mathematics and academic mathematics.

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Major Characteristics Affecting Popping Volume of Popcorn (튀김옥수수의 튀김부피에 영향을 미치는 주요특성)

  • 김선림;박승의;차선우;서종호
    • KOREAN JOURNAL OF CROP SCIENCE
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    • v.40 no.2
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    • pp.167-174
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    • 1995
  • This experiment was carried out to investigate the major characters affecting the popping volume of popcorn. Tuygimok 1 (Kp1 ${\times}$ Kp2) and 8 popcorn hybrids' agronomic characters were tested to evaluate a certain extent how much they affect on the popping volume. Moisture con-tent was considered as the most important factor, but failed to evaluate the optimum moisture con-tent level in this experiment moisture range (12.2-14.4%) because popping volume increased as moisture content of kernels increased. The maximum popping volume was obtained at 55-60kg of kernel hardness, 80-90,um of pericarp thickness and 45-50% of S/H (Soft/Hard starch). But the Em/En(Embryo/Endosperm) ratio was negatively associated with the popping volume. Therefore the minimum popping volume was observed at the 10-11 % of Em/En ratio. Moisture content, hardness, pericarp thickness, Em/En and S/H ratio were selected as the appropriate variables for the maxi-mum popping volume using the stepwise forward regression method and the expecting popping volume was estimated by the multiple linear regression formular. The mean popping volume of ninepopcorn hybrids was about 29.2cm3/g.

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Volume Measurement Method for Object on Pixel Area Basis through Depth Image (깊이 영상을 통한 화소 단위 물체 부피 측정 방법)

  • Ji-hwan Kim;Soon-kak Kwon
    • Journal of Korea Society of Industrial Information Systems
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    • v.29 no.1
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    • pp.125-133
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    • 2024
  • In this paper, we propose a volume measurement method for an object based on depth image. The object volume is measured by calculating the object height and width in actual units through the depth image. The object area is detected through differences between the captured and background depth images. The volume of the 2×2 pixel area, formed by four adjacent pixels using the depth information associated with each pixel, is measured. The object volume is measured as the sum of the volumes for whole 2×2 areas in the object area. In simulation results, the average measurement error for the object volume is 2.1% when the distance from the camera is 60cm.

Measurement of Photospetroscpopies by Anesthetics in Purple Membrane and Red Membrane (Purple Membrane과 Red Membrane에서 마취제에 의한 분광학적 측정)

  • Kim, Ki-Jun;Jeong, Hyeon-ghak;Kim, Juhan;Song, Hui-jun
    • Journal of the Korean Applied Science and Technology
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    • v.35 no.2
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    • pp.472-477
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    • 2018
  • The excess molar volumes of a general anesthetics on Purple membrane and Red membrane separated by extraction in Halobacteriun Halobium and in suspensions of vesicle have been determined at $25^{\circ}C$, it was used a excess volume dilatometer. The anesthesia characteristics of general anesthetics, Propofol was fined by our study to correlate with excess molar volume. Excess volume changes of the vesicle measured by excess volume dilatometer, which is an important amino acid and lipid in the purple membrane and red membrane by means of specific weight in Halobacteriun Halobium, were studied by absorption intensity at 280 nm and 330 nm. The particle size analysis and relative turbidity of Purple membrane and Red membrane by means of Propofol were measured for mechanical properties. In the samples where Propofol is incoporated in vesicle, especially, the excess molar volume of PM + RM + Propofol is the greatest than the excess molar volumes of PM, and RM.

MR 뇌 영상으로부터 20대 한국인의 소뇌 부피 측정

  • 김태영;이법이;정순철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.05a
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    • pp.295-295
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    • 2004
  • 본 연구에서는 한국인 20대 남자 50명(23$\pm$2세)과 여자 50명(20$\pm$1세)의 MR 뇌 영상을 KAIST 뇌과학 연구센터에 있는 37 MRI 기기로 획득하였고 Brain Voyager(B/V)를 이용하여 소뇌의 부피를 측정하고자 한다. 남자와 여자의 뇌의 구조가 부분적으로 차이가 있다는 것은 이미 밝혀진 사실이다 남자의 전체적인 brain volume이 약 10% 크다는 사실도 잘 알려져 있다. 그러므로 본 연구에서도 성별에 따라 소뇌의 부피의 차이가 있는지도 검증하고자 한다.(중략)

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Effects of Various Intracranial Volume Measurements on Hippocampal Volumetry and Modulated Voxel-based Morphometry (두개강의 용적측정법이 해마의 용적측정술과 화소기반 형태계측술에 미치는 영향)

  • Tae, Woo-Suk;Kim, Sam-Soo;Lee, Kang-Uk;Nam, Eui-Cheol
    • Investigative Magnetic Resonance Imaging
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    • v.13 no.1
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    • pp.63-73
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    • 2009
  • Purpose : To investigate the effects of various intracranial volume (ICV) measurement methods on the sensitivity of hippocampal volumetry and modulated voxel-based morphometry (mVBM) in female patients with major depressive disorder (MDD). Materials and Methods : T1 magnetic resonance imaging (MRI) data for 41 female subjects (21 MDD patients, 20 normal subjects) were analyzed. Hippocampal volumes were measured manually, and ICV was measured manually and automatically using the FreeSurfer package. Gray and white matter volumes were measured separately. Results : Manual ICV normalization provided the greatest sensitivity in hippocampal volumetry and mVBM, followed by FreeSurfer ICV, GWMV, and GMV. Manual and FreeSurfer ICVs were similar in normal subjects (p = 0.696), but distinct in MDD patients (p = 0.000002). Manual ICV-corrected total gray matter volume (p = 0.0015) and Manual ICV-corrected bilateral hippocampal volumes (right, p = 0.014; left, p = 0.004) were decreased significantly in MDD patients, but the differences of hippocampal volumes corrected by FreeSurfer ICV, GWMV, or GMV were not significant between two groups (p > 0.05). Only manual ICV-corrected mVBM analysis was significant after correction for multiple comparisons. Conclusion : The method of ICV measurement greatly affects the sensitivity of hippocampal volumetry and mVBM. Manual ICV normalization showed the ability to detect differences between women with and without MDD for both methods.

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