• Korean Journal of Crystallography
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• v.6 no.2
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• pp.125-133
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• 1995

The crystal structure of dehydrated, partially Co(II)-exchanged zeolite X, stoichiometry Co2+Na+-X (Co41+Na10Si100Al92O384) per unit cell, has been determined from three-dimensional X-ray diffraction data gathered by counter methods. The structure was solved and refined in the cubic space group Fd3:α=24.544(1)Å at 21(1)℃. The crystal was prepared by ion exchange in a flowing stream using a solution 0.025 M each in Co(NO3)2 and Co(O2CCH3)2. The crystal was then dehydrated at 380℃ and 2×10-6 Torr for two days. The structure was refined to the final error indices, R1=0.059 and R2=0.046 with 211 reflections for which I > 3σ(I). Co2+ ions and Na+ ions are located at the four different crystallographic sites. Co2+ ions are located at two different sites of high occupancies. Sixteen Co2+ ions are located at the center of the double six-ring (site I; Co-O = 2.21(1)Å, O-Co-O = 90.0(4)°) and twenty-five Co2+ ions are located at site II in the supercage. Twenty-five Co2+ ions are recessed 0.09Å into the supercage from its three oxygen plane (Co-O = 2.05(1)Å, O-Co-O = 119.8(7)°). Na+ ions are located at two different sites of occupandies. Seven Na+ ions are located at site II in the supercage (Na-O = 2.29(1)Å, O-Na-O = 102(1)°). Three Na+ ions are statistically distribyted over site III, a 48-fold equipoint in the supercages on twofold axes (Na-O = 2.59(10)Å, O-Na-O = 69.0(3)°). Seven Na+ ions are recessed 1.02Å into the supercage from the three oxygen plane. It appears that Co2+ ions prefer sites I and II in order, and that Na+ ions occupy the remaining sites, II and III.

• Journal of the Korean Chemical Society
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• v.40 no.7
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• pp.474-482
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• 1996

Two crystal structures of the vacuum dehydrated $Ag^+$-exchanged zeolite X have been determined by single-crystal X-ray diffraction techniques in the cubic space group Fd3 at 21(1)$^{\circ}C$ (a=24.922(1)${\AA}$ and a=24.901(1)${\AA}$, respectively). Each crystal was ion exchanged in flowing streams of aqueous $AgNO_3$ for three days. The first crystal was dehydrated at 300$^{\circ}C$ and $2{\times}10^{-6$torr for two days. The second crystal was similarly dehydrated at 350$^{\circ}C$. Their structures were refined to the final error indices, $R_1=0.095\;and\;R_2=0.092$ with 227 reflections, and $R_1=0.096\;and\;R_2=0.087$ with 334 reflections, respectively, for which I > 3${\sigma}$(I). In the first crystal, Ag species are found at five different crystallographic sites: sixteen $Ag^+$ ions fill the site I, the center of the double 6-ring, thirty-two Ag0 atoms fill the I' site in the sodalite cavities opposite double six-rings, seventeen $Ag^+$ ions lie at the 32-fold site II' inside the sodalite cavity at the single six-oxygen ring in the supercage, fifteen Ag+ ions lie at the 32-fold site II, in the supercage, and the remaining twelve $Ag^+$ ions lie at site III' in the supercage at a little off two-fold axes. In the second crystal, all Ag species are located similarly as crystal 1; 16 at site I, 28 at site I', 16 at site II, 16 at site II', 6 at site III and 6 at site III'. Total 88 silver species were found per unit cell. The remaining four Ag atoms were migrated out of the zeolite framework to form small silver crystallites on the surface of the zeolite single crystal. In the first structure, the numbers of Ag atoms per unit cell are approximately 32.0 and these may form tetrahedral $Ag_4$ clusters at the centers of the sodalite cavities. The probable four-atom cluster is stabilized by coordination to two $Ag^+$ ions. The Ag-Ag distance in the cluster, ca. 3.05 ${\AA}$, is a little longer than 2.89 ${\AA}$, Ag-Ag distance in silver metal. At least two six-ring $Ag^+$ ions on sodalite cavity (site II') must necessarily approach this cluster and this cluster may be viewed as a distorted octahedral silver cluster, (Ag6)2+.

• Journal of the Korean Chemical Society
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• v.40 no.6
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• pp.427-435
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• 1996

The structures of fully dehydrated $Ca^{2+}$- and $Cs^+$-exchanged zeolite X, $Ca_{35}Cs_{22}Si_{100}Al_{92}O_{384}$($Ca_{35}Cs_{22}$-X; a=25.071(1) $\AA)$ and $Ca_{29}Cs_{34}Si_{100}Al_{92}O_{384}$($Ca_{29}Cs_{34}$-X; a=24.949(1) $\AA)$, have been determined by single-crystal X-ray diffraction methods in the cubic space group Fd3 at $21(1)^{\circ}C.$ Their structures were refined to the final error indices $R_1$=0.051 and $R_2$=0.044 with 322 reflections for $Ca_{35}Cs_{22}$-X, and $R_1$=0.058 and $R_2$=0.055 with 260 reflections for $Ca_{29}Cs_{34}$-X; $I>3\sigma(I).$ In both structures, $Ca^{2+}$ and $Cs^+$ ions are located at five different crystallographic sites. In dehydrated $Ca_{35}Cs_{22}$-X, sixteen $Ca^{2+}$ ions fill site I, at the centers of the double 6-rings(Ca-O=2.41(1) $\AA$ and $O-Ca-O=93.4(3)^{\circ}).$ Another nineteen $Ca^{2+}$ ions occupy site II (Ca-O=2.29(1) $\AA$, O-Ca-O=118.7(4)') and ten $Cs^+$ ions occupy site II opposite single six-rings in the supercage; each is $1.95\AA$ from the plane of three oxygens (Cs-O=2.99(1) and $O-Cs-O=82.3(3)^{\circ}).$ About three $Cs^+$ ions are found at site II', 2.27 $\AA$ into sodalite cavity from their three-oxygen plane (Cs-O=3.23(1) $\AA$ and $O-Cs-O=75.2(3)^{\circ}).$ The remaining nine $Cs^+$ ions are statistically distributed over site Ⅲ, a 48-fold equipoint in the supercages on twofold axes (Cs-O=3.25(1) $\AA$ and Cs-O=3.49(1) $\AA).$ In dehydrated $Ca_{29}Cs_{34}$-X, sixteen $Ca^{2+}$ ions fill site I(Ca-O=2.38(1) $\AA$ and $O-Ca-O=94.1(4)^{\circ})$ and thirteen $Ca^{2+}$ ions occupy site II (Ca-O=2.32(2) $\AA$, $O-Ca-O=119.7(6)^{\circ}).$ Another twelve $Cs^+$ ions occupy site II; each is $1.93\AA$ from the plane of three oxygens (Cs-O=3.02(1) and $O-Cs-O=83.1(4)^{\circ})$ and seven $Cs^+$ ions occupy site II'; each is $2.22\AA$ into sodalite cavity from their three-oxygen plane (Cs-O=3.21(2) and $O-Cs-O=77.2(4)^{\circ}).$ The remaining sixteen $Cs^+$ ions are found at III site in the supercage (Cs-O=3.11(1) $\AA$ and Cs-O=3.46(2) $\AA).$ It appears that $Ca^{2+}$ ions prefer sites I and II in that order, and that $Cs^+$ ions occupy the remaining sites, except that they are too large to be stable at site I.

• Journal of the Mineralogical Society of Korea
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• v.13 no.4
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• pp.221-230
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• 2000

이성분 희토류 원소로 치환된 4종류의 합성불화인회석(synthetic fluorapatite) (Ap49: La+Gd, Ap50:Ce+Dy, Ap51: Pr+Er, Ap54: Eu+Lu; $Ca{10-x-2y}$ $Na_{y}$ $REE_{x+y}$($P_{1-x}$ //$Si_{x}$ $_{4}$)$_{6}$ $F_{2}$, x=0.13~0.12, y=0.26~0.42)을 대상으로 X-선 회절분석을 통해 얻어진 자료를 이용하여 리트벨트 구조분석을 실시하고 치환된 희토류원소의 거동을 단결정법으로 구해진 결과와 비교.분석하였다. 리트벨트 구조분석결과 합성불화인회석은 공간군 $P6_3$/m, 단위포는 평균하여 a=9.3906(1) $\AA$, c=6.8924(1) $\AA$, V=527.36 $\AA^3$의 값을 갖는다. 구조의 정밀도를 나타내는 R 지수를 보면 $R_{B}$ / 값은 17.29~18.80이고 S(GofF)값은 1.44~1.68로 계산되었다. 불화인회석은 9개의 산소를 배위하는 Ca1자리와 6개의 산소와 하나의 불소가 배위하는 Ca2자리가 있으며 Ca1-O의 평균거리는 2.563 $\AA$이고 Ca2-O의 평균거리는 $2.460 \AA$으로 Ca1자리가 Ca2자리보다 다소 크다. 구조자리 치환식에서는 $Ca^{2+}$ / 자리를 치환하는 $REE^{3+ }$ 로 인하여 전하균형을 맞춰주기 위해서 인과규소가 함께 참여하였다. ($REE^{3}$+Si$^{ 4+}$ $2Ca^{2+}$ : Ca1) 계산된 희토류원소의 자리점유율(REE-Ca2/REE-Cal)은 원자번호가 증가함에 따라 일정하게 감소하는 경향을 보여주며 이는 희토류원소의 거동이 LREE는 크기가 상대적으로 작은 Ca2 자리에 우선 치환되고 HREE는 크기가 큰 Ca1자리에 우선 치환되는 경향을 지시한다.

• Journal of Astronomy and Space Sciences
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• v.21 no.4
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• pp.529-552
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• 2004

We made a robust catalogue of reliable records of meteor showers and storms recorded in Korean, Japanese, and Chinese chronicles. In our new catalogue, there are 35 Korean records, 29 Japanese records, and 93 Chinese records. The temporal frequency distribution of records shows two broad peaks around the 10th and the 16th centuries. We observed that the peak in the 10th century is mainly contributed by the Perseids, while the peak in the 16th century was mainly contributed by the Leonids. We found that the ${\eta}-Aquarids$, the Perseids, the Orionids, and the Leonids have been active during the last two millennia. The oldest record of the ${\eta}-Aquarids$ is that of BC 687 in China, and the oldest record of the Perseids is that of 36 AD. Contrary to previous investigations, there has been no nodal shift of the ${\eta}-Aquarids$ and the Orionids, whose mother comet is the Halley's comet. The oldest record of the Leonids is probably that of 288 AD, instead of 902 AD. We also find some evidence on the existence of a possible shower a-Draconids. We note that our catalogue will be useful to investigate meteor showers.

• Communications of Mathematical Education
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• v.9
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• pp.165-176
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• 1999

금년(1999년) 6월 미국 미시간주에 사는 Nayan Hajratwala라는 사람은 2,098,960자리의 소수 $2^{6,972,593}$-1을 발견하였다. 이 소수는 인간이 발견한 소수 중 처음으로 백만자리를 넘는 소수로, 작년에 Clarkson(당시 만 19세)이 발견한 909,526 자리의 소수 $2^{3,021,377}$-1보다 자리수에서 두 배도 더 된다. 현재 백만자리 이하의 모든 메르센 수의 소수성은 검증이 되었다. Spence가 1997년에 발견한 소수$2^{2,976,221}$-1은 36번째의 메르센 소수로 판명되었고, 작년에 Clarkson이 발견한 소수 $2^{3,021,377}$-1은 37번째의 메르센 소수로 판명되었다. 백만자리까지는 모두 37개의 메르센 소수가 있는 것으로 밝혀졌다. 백만자리를 넘는 메르센 수 중에 이번에 발견한 소수보다 작은 소수가 있는지는 아직 모른다.

• Korean Journal of Plant Taxonomy
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• v.37 no.4
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• pp.431-446
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• 2007

The purpose of this study is to review the taxonomical position of Phytolacca insularis Nakai based on morphological characters and ITS sequences. Phytolacca insularis was similar to P. acinosa in the stem shape, inflorescence, apocarpous, eight pistils, eight stamens, pink anther, and eight fruits. But the unique difference between P. insularis and P. acinosa was leaf size and pistil color. Phytolaccri insularis and P. acinosa have a similar sculpturing patterns as an foveolate and microscabrate in pollen, but they differed from P. americana in having a bigger foveolae size in sculpture pattern. Phytolacca insularis and P. acinosa were similar in the seed size but different from P. americana by having a small size of seed. The seed surface of P. insularis and P. acinosa was similar with a irregularly undulate shape, but its feature of P. americana differed in having the reticulate shape. Phytolacc a insularis had identical ITS sequences with P. acinosa. Phytolacca insularis and P. acinosa have a close relationship in the morphological characters and ITS sequences. The examinations of morphology and ITS sequences suggest that P. insularis be a form of P. acinosa although it has been formerly treated as a distinct species.

• Journal of Life Science
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• v.33 no.8
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• pp.623-631
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• 2023

This study was conducted to develop microsatellite markers in Parapristipoma trilineatum using next-generation sequencing. A total of 402,244,934 reads were generated on the Illumina Hiseq X Ten System, yielding 60,738,985,034 bp of sequences. The de novo assembly resulted in 1,320,995 contigs. A total of 952,326 contigs (0.016%) including 151 microsatellite loci were derived from the 1,320,995 contigs longer than 640 bp. A total of 34 primer sets were designed from the 151 microsatellite loci. As a result, 15 microsatellite loci were chosen and used for assuming population genetic parameters in the wild and farmed populations. The mean number of effective alleles was 12, ranging from 6 to 25. The observed heterozygosity (H_O) and the expected heterozygosity (H_E) ranged between 0.530 and 0.873, with an average of 0.750, and from 0.647 to 0.895, with an average of 0.793, respectively. According to these results, the developed set of 15 microsatellite markers is expected to be useful for the analysis of genetic characteristics in the population of P. trilineatum in Korea. There are requirements now for further genetic information, fishery resource management, breeding guidelines, support with the selection of breeds and studies on the effects of release, all of which will improve species conservation, and through future research, we aim to offer genetic foundational data with that goal.

• Korean Journal of Crystallography
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• v.8 no.1
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• pp.6-14
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• 1997

The crystal structures of $Sr_{31}K_{30}-X\;(Sr_{31}K_{30}Si_{100}A1_{92}O_{384};\;a=25.169(5) {\AA}$) and $Sr_{8.5}Tl_{75}-X (Sr_{8.5}Tl_{75}Si_{100}A1_{92}O_{384};\;a=25.041(5) {\AA}$) have been determined by single-crystal X-ray diffraction techniques in the cubic space group $\=F{d3}\;at\;21(1)^{\circ}C$. Each crystal was prepared by ion exchange in a flowing stream of aqueous $Sr(ClO_4)_2\;and\;(K\;or\;T1)NO_3$ whose mole ratio was 1 : 5 for five days. Vacuum dehydration was done at $360^{\circ}C$ for 2d. Their structures were refined to the final error indices $R_1=0.072\;and\;R_w=0.057$ with 293 reflections, and $R_1= 0.058\;and\;R_w=0.044$ with 351 reflections, for which $I>2{\sigma}(I)$, respectively. In dehydrated $Sr_{31}K_{30}-X,\;all\;Sr^{2+}$ ions and $K^+$ ions are located at five different crystallographic sites. Six-teen $Sr^{2+}$ ions per unit cell are at the centers of the double six-rings (site I), filling that position. The remaining 15 $Sr^{2+}$ ions and 17 $K^+$ ions fill site II in the supercage. These $Sr^{2+}$ and $K^+$ ions are recessed ca $0.45{\AA}\;and\;1.06{\AA}$ into the supercage, respectively, from the plane of three oxygens to which each is bound. ($Sr-O=2.45(1){\AA}\;and\;K-O=2.64(1){\AA}$) Eight $K^+$ ons occupy site III'($K-O=3.09(7){\AA}\;and\;3.11(10){\AA}$) and the remaining five $K^+$ ions occupy another site III'($K-O=2.88(7){\AA}\;and\;2.76(7){\AA}$). In $Sr_{8.5}Tl_{75}-X,\;Sr^{2+}\;and\;Tl^+$ ions also occupy five different crystallographic sites. About 8.5 $Sr^{2+}$ ions are at site I. Fifteen $Tl^+$ ions are at site I' in the sodalite cavities on threefold axes opposite double six-rings: each is $1.68{\AA}$ from the plane of its three oxygens ($T1-O=2.70(2){\AA}$). Together these fill the double six-rings. Another 32 $Tl^+$ ions fill site II opposite single six-rings in the supercage, each being $1.48{\AA}$ from the plane of three oxygens ($T1-O=2.70(1){\AA}$). About 18 $Tl^+$ ions occupy site III in the supercage ($T1-O=2.86(2){\AA}$), and the remaining 10 are found at site III' in the supercage ($T1-O=2.96(4){\AA}$).

• School Mathematics
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• v.19 no.1
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• pp.137-151
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• 2017

This study aims to investigate the possibility of elementary students' generalization from three-digit numbers to multi-digit numbers in principles for addition and subtraction. One of main changes was the reduction of range of numbers for addition and subtraction from four-digit to three-digit. It was hypothesized that the students could generalize the principles of addition and subtraction after learning the three-digit addition and subtraction. To achieve the purpose of this study, we selected two groups as a sampling. One is called 'group 2015' who learned four-digit addition and subtraction and the other is called 'group 2016' who learned addition and subtraction only to three-digit. Because of the particularity of these subjects, this study covered two years 2015~2016. We applied our addition and subtraction test which contains ten three-digit or four-digit addition and subtraction items, respectively. We collected their results of the test and analyzed their differences using t-test. The results showed statistically meaningful difference between the mean score of the two groups only for four-digit subtraction. Based on the result, we discussed and made some didactical suggestions for teaching multi-digit addition and subtraction.