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Sample title Sample Title: with Forced Linebreaka) A. Author,1, b) B. Author,1, c) and C. Author2, d) 1)Authors’ institution and/or address 2)Second institution and/or address (Dated: 9 October 2009) An article usually includes an abstract, a concise summary of the work covered at length in the main body of the article. It is used for secondary publications and for information retrieval purposes. Valid PACS numbers may be entered using the \pacs{#1} command. PACS numbers: Valid PACS appear here Keywords: Suggested keywords The “lead paragraph” is encapsulated with the LATEX quotation environment and is formatted as a single paragraph before the first section heading. (The quotation environment reverts to its usual meaning after the first sectioning com- mand.) Note that numbered references are al- lowed in the lead paragraph. The lead paragraph will only be found in an article being prepared for the journal Chaos. I. FIRST-LEVEL HEADING: THE LINE BREAK WAS FORCED via \\ This sample document demonstrates proper use of REVTEX 4.1 (and LATEX 2ε) in mansucripts prepared for submission to AIP journals. Further information can be found in the documentation included in the distribution or available at http://publish.aip.org/revtex/ and in the documentation for REVTEX 4.1 itself. When commands are referred to in this example file, they are always shown with their required arguments, using normal TEX format. In this format, #1, #2, etc. stand for required author-supplied arguments to com- mands. For example, in \section{#1} the #1 stands for the title text of the author’s section heading, and in \title{#1} the #1 stands for the title text of the paper. Line breaks in section headings at all levels can be introduced using \\. A blank input line tells TEX that the paragraph has ended. a)Footnote to title of article. b)Also at Physics Department, XYZ University. c)Electronic mail: Second.Author@institution.edu. d)http://www.Second.institution.edu/~Charlie.Author. A. Second-level heading: Formatting This file may be formatted in both the preprint (the default) and reprint styles; the latter format may be used to mimic final journal output. Either format may be used for submission purposes; however, for peer re- view and production, AIP will format the article using the preprint class option. Hence, it is essential that authors check that their manuscripts format acceptably under preprint. Manuscripts submitted to AIP that do not format correctly under the preprint option may be delayed in both the editorial and production processes. The widetext environment will make the text the width of the full page, as on page 3. (Note the use the \pageref{#1} to get the page number right automati- cally.) The width-changing commands only take effect in twocolumn formatting. It has no effect if preprint formatting is chosen instead. 1. Third-level heading: Citations and Footnotes Citations in text refer to entries in the Bibliography; they use the commands \cite{#1} or \onlinecite{#1}. Because REVTEX uses the natbib package of Patrick Daly, its entire repertoire of commands are available in your document; see the natbib documentation for further details. The argument of \cite is a comma- separated list of keys; a key may consist of letters and numerals. By default, citations are numerical; Feynman (1954) author-year citations are an option. To give a textual ci- tation, use \onlinecite{#1}: (Refs. Witten, 2001; Ein- stein et al., 1935; Birell and Davies, 1982). REVTEX “collapses” lists of consecutive numerical citations when appropriate. REVTEX provides the ability to properly punctuate textual citations in author-year style; this fa- cility works correctly with numerical citations only with natbib’s compress option turned off. To illustrate, we cite several together Feynman (1954); Witten (2001); Einstein et al. (1935); Berman and Izrailev (1983), and once again (Refs. Einstein et al., 1935; Feynman, 1954; Birell and Davies, 1982; Berman and Izrailev, 1983).
Sample title Note that, when numerical citations are used, the ref- erences were sorted into the same order they appear in the bibliography. A reference within the bibliography is specified with a \bibitem{#1} command, where the argument is the ci- tation key mentioned above. \bibitem{#1} commands may be crafted by hand or, preferably, generated by using BibTEX. The AIP styles for REVTEX 4 include BibTEX style files aipnum.bst and aipauth.bst, appropriate for numbered and author-year bibliographies, respectively. REVTEX 4 will automatically choose the style appropri- ate for the document’s selected class options: the default is numerical, and you obtain the author-year style by specifying a class option of author-year. This sample file demonstrates a simple use of BibTEX via a \bibliography command referencing the aipsamp.bib file. Running BibTEX (in this case bibtex aipsamp) after the first pass of LATEX produces the file aipsamp.bbl which contains the automatically format- ted \bibitem commands (including extra markup infor- mation via \bibinfo commands). If not using BibTEX, the thebibiliography environment should be used in- stead. a. Fourth-level heading is run in. Footnotes are pro- duced using the \footnote{#1} command. Numeri- cal style citations put footnotes into the bibliography1. Author-year and numerical author-year citation styles (each for its own reason) cannot use this method. Note: due to the method used to place footnotes in the bibli- ography, you must re-run BibTeX every time you change any of your document’s footnotes. II. MATH AND EQUATIONS Inline math may be typeset using the $ delimiters. Bold math symbols may be achieved using the bm package and the \bm{#1} command it supplies. For instance, a bold α can be typeset as $\bm{\alpha}$ giving α. Frak- tur and Blackboard (or open face or double struck) char- acters should be typeset using the \mathfrak{#1} and \mathbb{#1} commands respectively. Both are supplied by the amssymb package. For example, $\mathbb{R}$ gives R and $\mathfrak{G}$ gives G In LATEX there are many different ways to display equa- tions, and a few preferred ways are noted below. Dis- played math will center by default. Use the class option fleqn to flush equations left. Below we have numbered single-line equations, the 1 Automatically placing footnotes into the bibliography requires using BibTeX to compile the bibliography. most common kind: χ+(p) [2|p|(|p| + pz)]−1/2 11234567890abc123αβγδ1234556αβ |p| + pz 1a px + ipy b A2 2 , . (1) (2) Note the open one in Eq. (2). Not all numbered equations will fit within a narrow column this way. The equation number will move down automatically if it cannot fit on the same line with a one-line equation: ab12345678abc123456abcdef αβγδ1234556αβ . (3) When the \label{#1} command is used [cf. input for Eq. (2)], the equation can be referred to in text without knowing the equation number that TEX will assign to it. Just use \ref{#1}, where #1 is the same name that used in the \label{#1} command. A2 Unnumbered single-line equations can be typeset using the \[, \] format: g+g+ → g+g+g+g+ . . . , q+q+ → q+g+g+ . . . . A. Multiline equations 1a b Multiline equations are obtained by using the eqnarray environment. Use the \nonumber command at the end of each line to avoid assigning a number: σ2)2χ−σ2(p2) i )−1δσ1,−σ2(ge M =ig2 Z(4E1E2)1/2(l2 ×[jlii]σ1χσ1(p1), |2 = g2n−4 |M viol g S (Q2) N n−2(N 2 − 1)   i
Sample title 3 Putting a \label{#1} command right after the \begin{subequations}, allows one to reference all the equations in a subequations environment. For example, the equations in the preceding subequations environment were Eqs. (6). A few notes on \tag{#1}. \tag{#1} requires amsmath. The \tag{#1} must come before the \label{#1}, if any. The numbering set with \tag{#1} is transparent to the automatic numbering in REVTEX; therefore, the number must be known ahead of time, and it must be manually adjusted if other equations are added. \tag{#1} works with both single-line and multiline equations. \tag{#1} should only be used in exceptional case - do not use it to number all equations in a paper. Enclosing single-line and multiline in \begin{subequations} and \end{subequations} will produce a set of equations that are “numbered” with let- ters, as shown in Eqs. (6a) and (6b) below: equations abc123456abcdef αβγδ1234556αβ 1. Wide equations , (6a) 1a b A2 M =ig2 Z(4E1E2)1/2(l2 ×[i]σ1χσ1(p1). i )−1(ge σ2)2χ−σ2(p2) The equation that follows is set in a wide format, i.e., it spans across the full page. The wide format is reserved for long equations that cannot be easily broken into four (6b) [ΓZ(3, 21)]σ1 12 − M 2 Q2 W + xW Qe + [ΓZ(13, 2)]σ1 13 − M 2 Q2 W [Γγ(3, 21)]σ1 12 − M 2 Q2 W . + [Γγ(13, 2)]σ1 13 − M 2 Q2 W (7) R(d) = ge σ2 This is typed to show the output is in wide format. (Since there is no input line between \equation and this para- graph, there is no paragraph indent for this paragraph.) III. CROSS-REFERENCING REVTEX will automatically number sections, equa- In order to refer- tions, figure captions, and tables. ence them in text, use the \label{#1} and \ref{#1} commands. To reference a particular page, use the \pageref{#1} command. The \label{#1} should appear in a section heading, within an equation, or in a table or figure caption. The \ref{#1} command is used in the text where the citation is to be displayed. Some examples: Section I on page 1, Table I, and Fig. 1. IV. FIGURES AND TABLES Figures and tables are typically “floats”; LATEX deter- mines their final position via placement rules. LATEX isn’t always successful in automatically placing floats where you wish them. Figures are marked up with the figure envi- ronment, the content of which imports the image (\includegraphics) followed by the figure caption (\caption). The argument of the latter command should TABLE I. This is a narrow table which fits into a text col- umn when using twocolumn formatting. Note that REVTEX 4 adjusts the intercolumn spacing so that the table fills the en- tire width of the column. Table captions are numbered au- tomatically. This table illustrates left-aligned, centered, and right-aligned columns. Lefta 1 10 100 a Note a. b Note b. Centeredb 2 20 200 Right 3 30 300 itself contain a \label command if you wish to refer to your figure with \ref. Import your image using either the graphics or graphix packages. These packages both define the \includegraphics{#1} command, but they differ in the optional arguments for specifying the orientation, scal- ing, and translation of the figure. Fig. 1 is small enough to fit in a single column, while Fig. 2 is too wide for a single column, so instead the figure* environment has been used. The analog of the figure environment is table, which uses the same \caption command. However, you should type your caption command first within the table, in- stead of last as you did for figure. The heart of any table is the tabular environment,
Sample title 4 There are two methods for setting footnotes within a table (these footnotes will be displayed directly below the table rather than at the bottom of the page or in the bibliography). The easiest and preferred method is just to use the \footnote{#1} command. This will auto- matically enumerate the footnotes with lowercase roman letters. However, it is sometimes necessary to have mul- tiple entries in the table share the same footnote. In this case, create the footnotes using \footnotemark[#1] and \footnotetext[#1]{#2}. #1 is a numeric value. Each time the same value for #1 is used, the same mark is pro- duced in the table. The \footnotetext[#1]{#2} com- mands are placed after the tabular environment. Ex- amine the LATEX source and output for Tables I and IV for an illustration. All AIP journals require that the initial citation of fig- ures or tables be in numerical order. LATEX’s automatic numbering of floats is your friend here: just put each figure environment immediately following its first refer- ence (\ref), as we have done in this example file. ACKNOWLEDGMENTS We wish to acknowledge the support of the author community in using REVTEX, offering suggestions and encouragement, testing new versions, . . . . Appendix A: Appendixes To start the appendixes, use the \appendix command. This signals that all following section commands refer to appendixes instead of regular sections. Therefore, the \appendix command should be used only once—to set up the section commands to act as appendixes. Thereafter normal section commands are used. The heading for a section can be left empty. For example, \appendix \section{} will produce an appendix heading that says “APPENDIX A” and \appendix \section{Background} will produce an appendix heading that says “APPENDIX A: BACKGROUND” (note that the colon is set automat- ically). If there is only one appendix, then the letter “A” should not appear. This is suppressed by using the star version of the appendix command (\appendix* in the place of \appendix). Appendix B: A little more on appendixes Observe that this appendix was started by using FIG. 1. A figure caption. The figure captions are automati- cally numbered. TABLE II. Numbers in columns Three–Five have been aligned by using the “d” column specifier (requires the dcolumn pack- age). Non-numeric entries (those entries without a “.”) in a “d” column are aligned on the decimal point. Use the “D” specifier for more complex layouts. One one He Ca Two two 2 Cb Three three 2.77234 12537.64 Four four 45672. 37.66345 Five five 0.69 86.37 a Some tables require footnotes. b Some tables need more than one footnote. which represents the table content as a (vertical) se- quence of table rows, each containing a (horizontal) se- quence of table cells. Cells are separated by the & charac- ter; the row terminates with \\. The required argument for the tabular environment specifies how data are dis- played in each of the columns. For instance, a column may be centered (c), left-justified (l), right-justified (r), or aligned on a decimal point (d). (Table II illustrates the use of decimal column alignment.) Extra column-spacing may be be specified as well, al- though REVTEX 4 sets this spacing so that the columns fill the width of the table. Horizontal rules are typeset us- ing the \hline command. The doubled (or Scotch) rules that appear at the top and bottom of a table can be achieved by enclosing the tabular environment within a ruledtabular environment. Rows whose columns span multiple columns can be typeset using LATEX’s \multicolumn{#1}{#2}{#3} command (for example, see the first row of Table III). The tables in this document illustrate various effects. Tables that fit in a narrow column are contained in a table environment. Table III is a wide table, therefore set with the table* environment. Lengthy tables may need to break across pages. A simple way to allow this is to specify the [H] float placement on the table or table* environment. Alternatively, using the standard LATEX 2ε package longtable gives more control over how tables break and allows headers and footers to be speci- fied for each page of the table. An example of the use of longtable can be found in the file summary.tex that is included with the REVTEX 4 distribution. Test Figure
Sample title 5 FIG. 2. Use the figure* environment to get a wide figure, spanning the page in twocolumn formatting. TABLE III. This is a wide table that spans the page width in twocolumn mode. It is formatted using the table* environment. It also demonstates the use of \multicolumn in rows with entries that span more than one column. D1 4h D5 4h 2nd alternative 1st alternative (2e) + (2f ) Ion K Mn Cl He Ag a The z parameter of these positions is z ∼ 1 4 . b This is a footnote in a table that spans the full page width in twocolumn mode. It is supposed to set on the full width of the page, just (a) + (b) + (c) + (d) (a) + (b) + (c) + (d) lst alternative (2c) + (2d) (2g)a (8r)a (4i) (2g)b (4j)a (4k)a (4e) (4e)a (4g)a 2nd alternative (4f ) (2a) + (2b) (4h)a as the caption does. TABLE IV. A table with more columns still fits properly in a column. Note that several entries share the same footnote. Inspect the LATEX input for this table to see exactly how it is done. rc (˚A) 0.800 0.990 1.150 0.490 0.300 0.530 0.550 0.230 0.310 0.460 0.480 r0 (˚A) 14.10 15.90 15.90 17.60 15.20 17.10 17.80 15.80 16.70 18.40 18.90 κr0 Sna 2.550 2.710 Pbb 2.710 Cac Srd 3.200 2.970 Lib 3.160 Nae 3.220 Ke 3.240 Rbc 3.330 Csd 3.500 Bae 3.550 Cu Ag Au Mg Zn Cd Hg Al Ga In Tl rc (˚A) 0.680 0.450 0.750 0.900 0.380 0.760 1.120 1.330 1.420 0.960 r0 (˚A) 1.870 1.930 2.170 2.370 1.730 2.110 2.620 2.800 3.030 2.460 κr0 3.700 3.760 3.560 3.720 2.830 3.120 3.480 3.590 3.740 3.780 a Here’s the first, from Ref. Feynman, 1954. b Here’s the second. c Here’s the third. d Here’s the fourth. e And etc. \section{A little more on appendixes} Note the equation number in an appendix: E = mc2. (B1) 1. A subsection in an appendix You can use a subsection or subsubsection in an ap- pendix. Note the numbering: we are now in Ap- pendix B 1. a. A subsubsection in an appendix Note the equation numbers in this appendix, produced with the subequations environment: E = mc, E = mc2, E mc3. (B2a) (B2b) (B2c) They turn out to be Eqs. (B2a), (B2b), and (B2c). Agarwal, A. G., “Proceedings of the Fifth Low Temperature Con- ference, Madison, WI, 1999,” Semiconductors 66, 1238 (2001). Ballagh, R. and Savage, C.M., “Bose-einstein condensation: from atomic physics to quantum fluids,” in Proceedings of the 13th Physics Summer School, edited by C.M. Savage and M. Das (World Scientific, Singapore, 2000) cond-mat/0008070. Ballagh, R. and Savage, C.M., “Bose-einstein condensation: from atomic physics to quantum fluids, proceedings of the 13th physics summer school,” (World Scientific, Singapore, 2000) cond-mat/0008070. Berman, Jr., G. P. and Izrailev, Jr., F. M., “Stability of nonlinear modes,” Physica D 88, 445 (1983). Beutler, E., in Williams Hematology, Vol. 2, edited by E. Beutler, M. A. Lichtman, B. W. Coller, and T. S. Kipps (McGraw-Hill, New York, 1994) 5th ed., Chap. 7, pp. 654–662. Beutler, E., “Williams hematology,” (McGraw-Hill, New York, 1994) Chap. 7, pp. 654–662, 5th ed. Birell, N. D. and Davies, P. C. W., Quantum Fields in Curved Space (Cambridge University Press, 1982). Burstyn, Y., “Proceedings of the 5th International Molecular Beam Epitaxy Conference, Santa Fe, NM,” (2004), (unpublished). Davies, E. B. and Parns, L., “Trapped modes in acoustic waveg- uides,” Q. J. Mech. Appl. Math. 51, 477–492 (1988). Einstein, A., Podolsky, Yu, and Rosen, N., Phys. Rev. 47, 777 (1935). Feynman, R. P., Phys. Rev. 94, 262 (1954). Fields, W. K., ECE Report No. AL944 (2005) required institution missing. Wide Test Figure
Sample title 6 Johnson, M. P., Miller, K. L., and Smith, K., personal communi- Boston, 1983) a full PROCEEDINGS entry. cation (2007). Kawa, S. R. and Lin, S.-J., J. Geophys. Res. 108, 4201 (2003), DOI:10.1029/2002JD002268. Knuth, Donald E., “Fundamental algorithms,” (Addison-Wesley, Reading, Massachusetts, 1973) Section 1.2, pp. 10–119, 2nd ed., a full INBOOK entry. Knuth, Donald E., Seminumerical Algorithms, 2nd ed., The Art of Computer Programming, Vol. 2 (Addison-Wesley, Reading, Massachusetts, 1981) a full BOOK entry. Knvth, Jill C., “The programming of computer art,” Vernier Art Center, Stanford, California (1988), a full BOOKLET entry. Lincoll, Daniel D., “Semigroups of recurrences,” in High Speed Computer and Algorithm Organization, Fast Computers No. 23, edited by David J. Lipcoll, D. H. Lawrie, and A. H. Sameh (Aca- demic Press, New York, 1977) 3rd ed., Part 3, pp. 179–183, a full INCOLLECTION entry. Phony-Baloney, F. Phidias, Fighting Fire with Fire: Festooning French Phrases, PhD dissertation, Fanstord University, Depart- ment of French (1988), a full PHDTHESIS entry. Quinn, B., ed., Proceedings of the 2003 Particle Accelerator Con- ference, Portland, OR, 12-16 May 2005 (Wiley, New York, 2001) albeit the conference was held in 2005, it was the 2003 conference, and the proceedings were published in 2001; go fig- ure. Smith, J., Proc. SPIE 124, 367 (2007a), required title is missing. Smith, J., ed., AIP Conf. Proc., Vol. 841 (2007). Smith, J. M., in Molecular Dynamics, edited by C. Brown (Aca- demic, New York, 1980). Smith, J. M., “Molecular dynamics,” (Academic, New York, 1980). Smith, J. S. and Johnson, G. W., Philos. Trans. R. Soc. London, Ser. B 777, 1395 (2005). Smith, R., “Hummingbirds are our friends,” J. Appl. Phys. (these Manmaker, Larry, The Definitive Computer Manual, Chips-R-Us, proceedings) abstract No. DA-01. Silicon Valley, silver ed. (1986), a full MANUAL entry. Smith, S. M., Ph.D. thesis, Massachusetts Institute of Technology Masterly, ´Edouard, Mastering Thesis Writing, Master’s project, Stanford University, English Department (1988), a full MAS- TERSTHESIS entry. Nelson, J., U.S. Patent No. 5,693,000 (12 Dec. 2005). Nelson, J., TWI Report 666/1999 (Jan. 1999) required institution missing. Nelson, J. K., M.S. thesis, New York University (1999b). Oaho, Alfred V., Ullman, Jeffrey D., and Yannakakis, Mihalis, “On notions of information transfer in VLSI circuits,” in Proc. Fif- teenth Annual ACM, All ACM Conferences No. 17, edited by Wizard V. Oz and Mihalis Yannakakis, ACM (Academic Press, Boston, 1983) pp. 133–139, a full INPROCEDINGS entry. Opechowski, W. and Guccione, R., “Introduction to the theory of normal metals,” in Magnetism, Vol. IIa, edited by G. T. Rado and H. Suhl (Academic Press, New York) p. 105. Opechowski, W. and Guccione, R., “Introduction to the theory of normal metals,” in Magnetism, Vol. IIa, edited by G. T. Rado and H. Suhl (Academic Press, New York, 1965) p. 105. Opechowski, W. and Guccione, R., “Introduction to the theory of normal metals,” in Magnetism, Vol. IIa, edited by G. T. Rado and H. Suhl (Academic Press, New York, 1965) p. 105. Oz, Wizard V. and Yannakakis, Mihalis, eds., Proc. Fifteenth An- nual, All ACM Conferences No. 17, ACM (Academic Press, (2003). Smith, V. K., Johnson, K., and Klein, M. O., “Surface chemistry and preferential crystal orientation on a silicon surface,” (a), J. Appl. Phys. (submitted). Smith, W. J., Johnson, T. J., and Miller, B. G., “Surface chemistry and preferential crystal orientation on a silicon surface,” (b), J. Appl. Phys. (unpublished). T´errific, Tom, “An O(n log n/log log n) sorting algorithm,” Wish- ful Research Result 7 (Fanstord University, Computer Science Department, Fanstord, California, 1988) a full TECHREPORT entry. ¨Underwood, Ulrich, ˜Net, Ned, and ¯Pot, Paul, “Lower bounds for wishful research results,” (1988), talk at Fanstord University (A full UNPUBLISHED entry). Witten, Edward(2001), hep-th/0106109. Zakharov, V. E. and Shabat, A. B., “Exact theory of two- dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media,” Zh. Eksp. Teor. Fiz. 61, 118–134 (1971), [Sov. Phys. JETP 34, 62 (1972)]. Zalkins, Y. M., e-print arXiv:cond-mat/040426 (2008).
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