Fundamentals of Modern Physics

Eisberg, R. M.; Sawyer, Raymond B.

doi:10.1119/1.1941871

Cited by 88 publications

(72 citation statements)

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“…Furthermore, it can be shown that at ambient temperatures the translational and rotational contributions have their classical values (Eisberg 1961):…”

Section: Resultsmentioning

confidence: 99%

“…The allowed energies for a quantum mechanical oscillator are E n = (n+1/2)h n = 0,1,2,… where  is the classical harmonic oscillator frequency 1/2[a/µ] 1/2 , h is Planck's constant, a is a force constant, and µ a reduced mass (Eisberg 1961). Then, for a diatomic molecule Q vib = e -(n+1/2) h/kT = e -h/2kT (1 + e -h/kT + e -2h/kT + e -3h/kT + ….)…”

Section: Resultsmentioning

confidence: 99%

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Are the Fractionation Corrections Correct: Are the Isotopic Shifts for ¹⁴C/¹²C Ratios in Physical Processes and Chemical Reactions Really Twice Those for ¹³C/¹²C?

Southon¹

2011

Radiocarbon

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ABSTRACT. Conventional radiocarbon calculations correct for isotopic fractionation using an assumed value of 2.0 for the fractionation of 14 C relative to 13 C. In other words, isotopic discrimination in physical and chemical processes is assumed to cause relative shifts in 14 C/ 12 C ratios that are exactly double those of 13 C/ 12 C. This paper analyzes a 1984 experiment that produced a value for the fractionation ratio in photosynthesis of 2.3, which is used to this day by some researchers in the fields of hydrology and speleothem geochemistry. While the value of 2.3 is almost certainly incorrect, theoretical work suggests that the true value may indeed deviate from 2.0, which would have significant implications for 14 C calculations.

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“…Furthermore, it can be shown that at ambient temperatures the translational and rotational contributions have their classical values (Eisberg 1961):…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Are the Fractionation Corrections Correct: Are the Isotopic Shifts for ¹⁴C/¹²C Ratios in Physical Processes and Chemical Reactions Really Twice Those for ¹³C/¹²C?

Southon¹

2011

Radiocarbon

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show abstract

“…The result is that the spectrum of sunlight obtained by a diffraction grating has dark bands called Fraunhofer absorption lines. Laboratory experiments show that different types of atoms and ions absorb light at different wavelengths (Eisberg, 1963;Thornton and Rex, 2006). Comparing these laboratory results with the absorption wavelengths observed in the solar spectrum, astronomers are able to deduce the chemical composition of the sun's atmosphere.…”

Section: Results Of Solar Spectrum Observationmentioning

confidence: 99%

Introduction to Fundamental Concepts of Spectroscopy Using the Lhires III Spectrograph

Ramírez¹,

Guapacha²,

Galvis³

2017

American Journal of Applied Sciences

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This article proposes and analyzes the use of the high-resolution Lhires III spectrograph as a pedagogical tool for teaching-learning concepts of optical spectroscopy. A methodology was developed and it was tested in a population of 20 students from different engineering programs at the Technological University of Pereira, Colombia. The methodology was implemented through a guide, which describes the 3 experiments that are part of the methodological proposal. Upon completion of the guide, students were asked to respond to a test. The Hake gain coefficient was used to measure the learning evolution of students and verify the methodology proposed in this study. 85% of the students affirmed they would like to explore in more depth the concepts of spectroscopy. Although more analysis may be required to verify the findings, these preliminary results show the experiments carried out with the Lhires III allow students to strengthen knowledge acquired in the classroom, fostering interest in science both at high school and university levels.

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“…Na Seção 2 apresenta-se a metodologia para uma possível implementação do algoritmo. Entre os princípios fundamentais da mecânica quântica, destaca-se o princípio da incerteza de Heisenberg [6], segundo o qual existe uma limitação na precisão, imposta pelo próprio processo de medida. Por exemplo: determinar simultaneamente a posição (x) e a componente x do momento (px) de uma partícula tem sua incerteza mínima determinada por:…”

Section: Introductionunclassified

Uma proposta experimental em mecânica quântica: uns fótons, uma fenda, uma foto

Silva¹,

Rodrigues²,

Ribeiro³

et al. 2016

Scientia Plena

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Este trabalho propõe uma metodologia para atividades práticas, envolvendo conhecimentos de programação e conceitos de física quântica, para obter dados relativos ao padrão de difração de Fraunhofer e, assim, estudar um dos princípios que fundamentam a mecânica quântica: o Princípio da Incerteza de Heisenberg. Com a utilização didática de recursos tecnológicos contemporâneos para o ensino de tópicos de física moderna, espera-se promover um ambiente promissor para o ensino de temas que se relacionem com a ciência, tecnologia e informação. Foi proposto um algoritmo para aquisição de dados referentes às distancias entre os mínimos de intensidade no padrão de difração, embora o algoritmo não tenha sido aplicado em sala de aula esse trabalho propõe a comparação dos dados obtidos pelo algoritmo e por medidas diretas feitas com uma régua. A utilização dos recursos sugeridos neste trabalho deve envolveras disciplinas de Física e linguagem de programação, podendo ser aplicados, por exemplo, em cursos de nível médio integrado em informática, ou em disciplinas como metodologia para o ensino de Física em cursos de licenciatura em Física. A automação dos dados permitiu estudar o princípio da incerteza e obter o valor da constante de Planck de forma alternativa à medida direta da distância entre os mínimos de difração.

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Fundamentals of Modern Physics

Cited by 88 publications

References 0 publications

Are the Fractionation Corrections Correct: Are the Isotopic Shifts for ¹⁴C/¹²C Ratios in Physical Processes and Chemical Reactions Really Twice Those for ¹³C/¹²C?

Are the Fractionation Corrections Correct: Are the Isotopic Shifts for ¹⁴C/¹²C Ratios in Physical Processes and Chemical Reactions Really Twice Those for ¹³C/¹²C?

Introduction to Fundamental Concepts of Spectroscopy Using the Lhires III Spectrograph

Uma proposta experimental em mecânica quântica: uns fótons, uma fenda, uma foto

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Fundamentals of Modern Physics

Cited by 88 publications

References 0 publications

Are the Fractionation Corrections Correct: Are the Isotopic Shifts for 14C/12C Ratios in Physical Processes and Chemical Reactions Really Twice Those for 13C/12C?

Are the Fractionation Corrections Correct: Are the Isotopic Shifts for 14C/12C Ratios in Physical Processes and Chemical Reactions Really Twice Those for 13C/12C?

Introduction to Fundamental Concepts of Spectroscopy Using the Lhires III Spectrograph

Uma proposta experimental em mecânica quântica: uns fótons, uma fenda, uma foto

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Are the Fractionation Corrections Correct: Are the Isotopic Shifts for ¹⁴C/¹²C Ratios in Physical Processes and Chemical Reactions Really Twice Those for ¹³C/¹²C?

Are the Fractionation Corrections Correct: Are the Isotopic Shifts for ¹⁴C/¹²C Ratios in Physical Processes and Chemical Reactions Really Twice Those for ¹³C/¹²C?