Reply to the comment by Amano on “Linear and bent triatomic molecules are not qualitatively different!”

2021 ◽  
pp. 1-3
Author(s):  
Per Jensen
Keyword(s):  
Quantum Mechanics ◽  
Repeated Measurements ◽  
Moment Of Inertia ◽  
Molecular Axis ◽  
Linear Molecule ◽  
Triatomic Molecule ◽  
Expectation Value ◽  
Triatomic Molecules ◽  
Average Value ◽  
The Subject

In Amano’s comment on Jensen’s paper, we notice two important misconceptions: (i) Amano overlooks the fact that all features special for a linear molecule originate in the double degeneracy in the bending motion (i.e., in the fact that for a linear triatomic molecule, the description of the bending motion must necessarily also involve the rotation about the axis of least moment of inertia, the a axis, which becomes the molecular axis at equilibrium), and (ii) the expectation value generated from the wavefunction gives an “average” value of the relevant observable (coordinate); the expectation value can, in principle, be obtained experimentally as the average of very many repeated measurements of the observable. In our previous papers on this subject, in particular the paper by Jensen discussed here, we have attempted to explain our results as coherently and “pedagogically” as we can, starting with the fundamental principles of quantum mechanics, and we encourage interested readers to refer to our previous works on the subject. Thus, we maintain our assertion that the vibrationally averaged structure of a linear molecule is observed as being bent, as we have demonstrated previously from both theoretical and experimental viewpoints.

Comment on “Linear and bent triatomic molecules are not qualitatively different!”

2021 ◽  
pp. 1-2
Author(s):  
T. Amano
Keyword(s):  
Quantum Mechanics ◽  
Basic Principle ◽  
Stationary States ◽  
Expectation Values ◽  
Theoretical Justification ◽  
Bending Angle ◽  
Expectation Value ◽  
Triatomic Molecules

Jensen (Can. J. Phys. 98, 506 (2020). doi: 10.1139/cjp-2019-0395 ) presents theoretical justification for the claim that linear triatomic molecules are necessarily observed to be bent. The basis of the assertion is that the expectation value of the supplement of the bending angle, [Formula: see text] used in Jensen’s paper, is calculated to be positive. In this comment, we examine the interpretation of the expectation values of [Formula: see text] in stationary states, and indicate that Jensen’s claim contradicts a basic principle of quantum mechanics that the energy and geometrical variables cannot have definite values at the same time.

PENINGKATAN KEMAMPUAN MENYIMAK CERITA MELALUI PENERAPAN MODEL PEMBELAJARAN TIM PENDENGAR PADA MATA PELAJARAN BAHASA INDONESIA SISWA KELAS V SD NEGERI 007 PAGARAN TAPAH DARUSSALAM KABUPATEN ROKAN HULU

2017 ◽  
Vol 6 (1) ◽  
pp. 24
Author(s):  
Gusliarni Gusliarni
Keyword(s):  
Data Collection ◽  
Learning Model ◽  
Listening Skills ◽  
Class V ◽  
Average Ability ◽  
Average Value ◽  
The Subject ◽  
Data Collection Technique ◽  
Academic Year ◽  
Bahasa Indonesia

This research is motivated by the lack of listening skills obtained by the students, it is seen from the results of an assessment of the listening skills of students still achieved an average grade 56.32 or reach under the KKM predetermined value is 70. This study aims to determine whether the Team Learning model Listener can improve listening skills of students in the subject of Indonesian student Class V SD Negeri 007 Pagaran Tapah Darussalam Rokan Hulu. The subjects were 38 students in the academic year 2014-2015. Form of research is classroom action research. The data collection technique used is the technique of test and non test. Based on the results, it can be concluded that the ability to listen to the story class V students of SD Negeri 007 Pagaran Tapah Darussalam Rokan Hulu can be improved by applying the learning model listener team. On average ability to listen to stories of students in the early test is average with the average value of 56.32 by the medium category, and in the first cycle rose to 69.47 in the medium category, while in the second cycle listening skills of students categorized as high with the percentage of the average value of 76, 58 with a high category. Therefore, the success rate has exceeded 70 of the total number of students, which means that most students have achieved success predetermined value (minimum 75%).

PENERAPAN METODE DISKUSI UNTUK MENINGKATKAN HASIL BELAJAR MATEMATIKA SISWA KELAS I SDN 004 TEMBILAHAN KOTA KECAMATAN TEMBILAHAN KABUPATEN INDRAGIRI HILIR

2018 ◽  
Vol 2 (2) ◽  
pp. 173
Author(s):  
Jaimah Jaimah
Keyword(s):  
Action Research ◽  
Initial Data ◽  
Learning Outcomes ◽  
Learning Process ◽  
Mathematics Learning ◽  
First Grade ◽  
Average Value ◽  
Concrete Objects ◽  
The Subject ◽  
Classroom Action Research

The background of this research is the low of mathematics learning result of grade 1 student of SDN 004Tembilahan Kota, for that done perbaiakan learning process by applying method of discussion. This researchwas conducted in SDN 004 Tembilahan Kota with the subject of research is the first grade students with 36students. This research is a classroom action research conducted two cycles. Based on the results of theresearch, it is found that the use of the method of disuksi can improve the students' learning outcomes aboutknowing and determining the length and weight with nonstandard units using concrete objects / concretesituation in the initial data, the total number of completed students is 12 students (33.3%) average 55.83. In thefirst cycle has increased the number of students who complete is 26 students (77.22%) with an average value of80.00. In the second cycle has increased with the total number of students who completed is 32 students (88.89)with an average value of 88.06.

PENERAPAN STRATEGI PEMBELAJARAN INQUIRY DENGAN PENDEKATAN CTL (CONTEXTUAL TEACHING AND LEARNING) UNTUK MENINGKATKAN HASIL BELAJAR MATEMATIKA SISWA KELAS VIII-D SMPN 4 TAMBANG

2018 ◽  
Vol 2 (2) ◽  
pp. 156
Author(s):  
Zulkifli Zulkifli
Keyword(s):  
Learning Outcomes ◽  
Teaching And Learning ◽  
Student Learning Outcomes ◽  
Average Score ◽  
Mathematics Students ◽  
Algebraic Form ◽  
Student Activity ◽  
Average Value ◽  
The Subject ◽  
Improve Student Learning

This research is based on the low learning outcome of mathematics students of grade VIII SMPN 4 Tambang.The purpose of this research is to improve the learning outcomes of mathematics through the application ofinquiry learning with CTL approach. This research was conducted in SMPN 4 Tambang with subject of classVIII-D students with 29 students. This classroom action research was started in early January 2017. Theresearch instrument consists of a teacher and student activity sheet instrument and a test of learning outcomes.Based on the results of research and discussion can be concluded that the strategy of inquiry learning with CTLapproach can improve student learning outcomes of mathematics on the subject matter of algebraic form inclass VIII-D SMPN 4 Tambang. On the basic score the number of students who reached the KKM as many as 14people (48.28%) with an average score of 58.79. In cycle I the number of students who reach the KKM of 19people (65.52%) with an average value of 65.69%. In cycle II the number reaching KKM is 25 people (86.21%).

UPAYA MENINGKATKAN HASIL BELAJAR MATEMATIKA PADA MATERI PECAHAN SEDERHANA MELALUI MEDIA KARTU PECAHAN DI KELAS VI SD NEGERI 011 DESA BARU KECAMATAN SIAK HULU

2019 ◽  
Vol 3 (1) ◽  
pp. 213
Author(s):  
Maimun Maimun
Keyword(s):  
Action Research ◽  
Learning Outcomes ◽  
Mathematics Learning ◽  
Simple Fraction ◽  
Average Value ◽  
The Subject ◽  
Classroom Action Research

The background of this study is the low mathematics learning outcomes of class VI students at SD Negeri 011 Desa Baru, to overcome this problem a classroom action research was conducted by applying fraction card media. This research was conducted in SD Negeri 011 Desa Baru, the subject of this study was class VI students with a total of 24 students. The results of this study show that mathematics learning outcomes have increased in pre-cycle average value obtained is 59.8, in the first cycle obtained an average value of 68.3. And in the second cycle obtained an average value of 82.9. Based on the results of this study, it can be concluded that the mathematics learning outcomes in simple fraction material increase after the fraction card media are applied.

Quantum Theory

2017 ◽  
Author(s):  
Frank S. Levin
Keyword(s):  
Quantum Mechanics ◽  
Quantum Theory ◽  
Uncertainty Principle ◽  
Quantum Spin ◽  
Quantum States ◽  
Wave Functions ◽  
Symbolic Representations ◽  
Quantum Numbers ◽  
The Subject ◽  
Heisenberg's Uncertainty Principle

The subject of Chapter 8 is the fundamental principles of quantum theory, the abstract extension of quantum mechanics. Two of the entities explored are kets and operators, with kets being representations of quantum states as well as a source of wave functions. The quantum box and quantum spin kets are specified, as are the quantum numbers that identify them. Operators are introduced and defined in part as the symbolic representations of observable quantities such as position, momentum and quantum spin. Eigenvalues and eigenkets are defined and discussed, with the former identified as the possible outcomes of a measurement. Bras, the counterpart to kets, are introduced as the means of forming probability amplitudes from kets. Products of operators are examined, as is their role underpinning Heisenberg’s Uncertainty Principle. A variety of symbol manipulations are presented. How measurements are believed to collapse linear superpositions to one term of the sum is explored.

scholarly journals HEIDELBERG RADIOCARBON LAB – ESTABLISHING A NEW CARBON DIOXIDE EXTRACTION LINE FOR CARBONATE SAMPLES

Radiocarbon ◽  
2021 ◽  
pp. 1-10
Author(s):  
S Therre ◽  
L Proß ◽  
R Friedrich ◽  
M Trüssel ◽  
N Frank
Keyword(s):  
Radiocarbon Dating ◽  
Glass Tube ◽  
Extraction Process ◽  
High Accuracy ◽  
Repeated Measurements ◽  
Average Value ◽  
Carbon Dioxide Extraction ◽  
Favorable Conditions ◽  
Solid Piece ◽  
Environmental Physics

ABSTRACT To achieve high-precision and reproducible results from radiocarbon (14C) dating of carbonate samples in paleoclimate research, a new CO2 extraction line was designed, constructed, and characterized at the Heidelberg Radiocarbon Lab of the Institute of Environmental Physics, Heidelberg. The setup includes a circular glass-tube design, which is operated at vacuum pressure levels of the order of 10–5 mbar. The efficiency of the extraction process was assessed, showing significantly favorable conditions for solid piece samples (99.58 ± 4.69)% over powdered samples (88.28 ± 10.03)%. Process blank values are below 0.2 pMC apparent 14C activity. Repeated measurements of IAEA C2 standards with an average value of (41.09 ± 0.23) pMC attest high accuracy and reproducibility of the instrument. Six consecutive samples of 6 to 12 mg carbonate mass can be processed in one run of roughly 2.5 hours. Thus, the new setup contributes to time-efficient and reproducible radiocarbon dating results for paleoclimate research at the Institute of Environmental Physics. In a first application, Dead Carbon Fraction (DCF) values of a Holocene alpine stalagmite from Schratten Cave are presented, revealing extraordinarily high offsets between atmospheric and stalagmite 14C with DCF values between (49.4 ± 0.4)% and (61.6 ± 0.4)%.

scholarly journals Pemahaman Konsep Matematis Siswa Kelas VIII pada Materi Lingkaran

2019 ◽  
Vol 8 (2) ◽  
pp. 297-306
Author(s):  
Attin Warmi
Keyword(s):  
Data Collection ◽  
Daily Life ◽  
Concept Analysis ◽  
Research Subject ◽  
Mathematical Concepts ◽  
Average Value ◽  
Case Research ◽  
Class Viii ◽  
The Subject ◽  
Descriptive Method

AbstrakBanyak siswa yang kesulitan dalam memahami konsep matematika. Tujuan dari penelitian ini untuk mengetahui kemampuan pemahaman konsep siswa dalam menyelesaikan soal-soal pada pokok bahasan Lingkaran. Metode yang digunakan dalam penelitian ini  adalah metode deskriptif dengan penelitian kasus. Materi tentang Lingkaran merupakan materi yang terdapat di SMP kelas VIII pada semester genap dan materi ini merupakan salah satu materi yang berhubungan dengan kehidupan sehari hari. Kelas VIII F SMPN 3 Karawang Barat dipilih sebagai subjek penelitian. Pengumpulan data dilakukan dengan pemberian tes tertulis kemampuan pemahaman konsep. Soal berbentuk uraian yang sebelum digunakan sudah di uji validasi. Hasil penelitian ini menunjukan rata-rata nilai kemampuan pemahaman konsep matematis siswa adalah 10,06 termasuk dalam kriteria sedang.  Hasil analisis konsep per indikator, diketahui siswa sangat kurang pada indikator menerapkan hubungan antar konsep dan prosedur, kemudian dalam menerapkan konsep secara algoritma. Masih terdapat banyak siswa yang memiliki pemahaman konsep yang kurang.  Understanding of Mathematical Concepts Class VIII Students in Circle MaterialsAbstractMany students have difficulty understanding mathematical concepts. The purpose of this study is to determine the ability to understand students' concepts in solving questions on the subject of the Circle. The method used in this research is descriptive method with case research. The material about Circles is the material found in class VIII SMP in the even semester and this material is one of the materials related to daily life. Class VIII F of SMP 3 Karawang Barat was chosen as the research subject. Data collection is done by giving written tests the ability to understand concepts. Questions in the form of descriptions that have been validated before being used. The results of this study show the average value of the ability to understand students' mathematical concepts is 10.06 which is included in the criteria of being. The results of concept analysis per indicator, it is known that students are very lacking in indicators applying relationships between concepts and procedures, then in applying the concept algorithmically. There are still many students who lack an understanding of concepts.

scholarly journals Project Based Learning untuk Meningkatkan Hasil Belajar Kimia Siswa Pokok Bahasan Hakikat Ilmu Kimia

2018 ◽  
Vol 2 (2) ◽  
pp. 189
Author(s):  
Sasmono Sasmono
Keyword(s):  
Student Learning ◽  
Learning Outcomes ◽  
Subject Matter ◽  
Student Learning Outcomes ◽  
Learning Model ◽  
Project Based Learning ◽  
Average Value ◽  
Model Project ◽  
The Subject ◽  
Improve Student Learning

Tujuan dari penelitian ini adalah untuk mengetahui apakah pembelajaran menggunakan model Project Based Learning (PjBL) dapat meningkatkan hasil belajar siswa pada pelajaran kimia dengan pokok bahasan Hakikat Ilmu Kimia, serta untuk mengetahui besar peningkatannya. Metode penelitian ini adalah Penelitian Tindakan Kelas (PTK) yang dilaksanakan dalam 2 siklus. Variabel yang digunakan adalah peningkatan hasil belajar mencakup nilai kognitif dan psikomotorik. Adapun instrumen yang digunakan adalah pretes-postes, portofolio, lembar observasi, dan angket kuisioner. Data dianalisis secara deskriptif kualitatif. Dari hasil penelitian diperoleh gambaran siswa yang mencapai Kriteria Ketuntasan Minimal (KKM) nilai kognitif sebesar 97% dengan rata-rata nilai 82, siswa yang mencapai KKM nilai psikomotorik sebanyak 100% dengan rata-rata nilai 91. Terjadi peningkatan keberhasilan guru dalam menerapkan model pembelajaran PjBL pada siklus I sebesar 88% meningkat pada siklus II sebesar 97%. Peningkatan keaktifan rata-rata siswa pada siklus I sebesar 82%, meningkat pada siklus II sebesar 93%. Ketertarikan rata-rata siswa juga mengalami peningkatan pada siklus I sebesar 84% meningkat pada siklus II sebesar 92%. Hasil observasi penerapan PjBL secara keseluruhan menunjukkan nilai sangat baik yaitu 95. Berdasarkan hasil analisis data tersebut menunjukkan bahwa pembelajaran menggunakan model Project Based Learning dapat meningkatkan hasil belajar siswa pokok materi hakikat ilmu kimia.   Project Based Learning to Improve Student Learning Outcome in Chemistry Lessons with the Subject Matter of the Nature of Chemistry Abstract The purpose of this study was to determine whether learning using the Project Based Learning model can improve student learning outcomes in chemistry lessons with the subject matter of the nature of Chemistry, and to determine the magnitude of the increase. Classroom Action Research is carried out in 2 cycles. The variables used are improvement in learning outcomes including cognitive, and psychomotor values. The instruments used were pretest-posttest, portfolio, observation sheet, and questionnaire questionnaire. Data were analyzed qualitatively descriptive. From the results of the study obtained a picture of students who reached KKM cognitive value as much as 97% with an average value of 82, students who achieved KKM psychomotor value as much as 100% with an average value of 91. There was an increase in the success of teachers in applying the PjBL learning model in the first cycle of 88%, increasing in the second cycle by 97%. The increase in the average activity of students in the first cycle was 82%, increasing in the second cycle by 93%. The average interest of students also increases in the first cycle by 84%, increasing in the second cycle by 92%. Observation of the application of PjBL as a whole shows a very good value of 95. Based on the results of the analysis of the data shows that learning using the Project Based Learning model can improve student learning outcomes of the subject matter of the nature of chemistry.

scholarly journals UPAYA MENINGKATKAN KREATIVITAS BELAJAR MATEMATIKA MENGGUNAKAN MODEL PEMBELAJARAN KOOPERATIF TIPE THINK PAIR SHARE (TPS) PADA SISWA SMP MUHAMMADIYAH 8 MEDAN TAHUN PELAJARAN 2014/2015

2016 ◽  
Vol 4 (3) ◽  
Author(s):  
Lilis Arini ◽  
Edi Surya
Keyword(s):  
Action Research ◽  
Cooperative Learning ◽  
Student Learning ◽  
Mathematics Learning ◽  
Learning Model ◽  
Female Students ◽  
Male Students ◽  
Average Value ◽  
The Subject ◽  
Classroom Action Research

This study aims to determine whether the type cooperative learning model Think Pair Share (TPS) can improve mathematics learning creativity in students of SMP Muhammadiyah 8 Medan in particular on the subject of Perimeter and Area of Rectangle class VII T.P second semester 2014/2015. The research is a classroom action research (PTK) using cooperative learning model Think Pair Share (TPS). The instrument used was a test as much as 5 about the shape of the description and in the observation is the creativity of student learning. The subjects were students / student of class VII-C SMP Muhammadiyah 8 Medan totaling 38 people consisting of 21 male students and 17 female students. The object of this research is the creativity of mathematics learning using cooperative learning model Think Pair Share (TPS). Obtaining the average value of the creativity of the students at an early test of 41.26% (Less), the first cycle increased to 59.15% (Enough), and the second cycle increased to 79.10% (Good). It can be concluded that the cooperative learning model Think Pair Share (TPS) on the subject of the circumference and area of a rectangle increased creativity of mathematics learning in class VII-C SMP Muhammadiyah 8 Medan T.P.2014 / 2015.

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