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difficulty int64	source stringclasses 2 values	domain stringclasses 1 value	conversations listlengths 2 2	processed_conversations listlengths 2 2
null	organic-chemistry-questions	science	[ { "from": "human", "value": "Let us apply this method to determine the number of hydrocarbons of the formula C5H12 which are possible. The butanes have the formulas (1) (2) (2) (1) (3) (4). \n\nWhat methodology is suggested to determine the number of hydrocarbons of the formula C5H12?" }, { "from": ...	[ { "from": "human", "value": "Let us apply this method to determine the number of hydrocarbons of the formula C5H12 which are possible. The butanes have the formulas (1) (2) (2) (1) (3) (4). \n\nWhat methodology is suggested to determine the number of hydrocarbons of the formula C5H12?" }, { "from": ...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "Cyclopropane, a gas once used with oxygen as a general anesthetic, is composed of 85.7% carbon and 14.3% hydrogen by mass. Find the empirical formula. If 1.56 g of cyclopropane occupies a volume of 1.00 L at 0.984 atm and 50 °C, what is the molecular formula for cyclopropane?" ...	[ { "from": "human", "value": "Cyclopropane, a gas once used with oxygen as a general anesthetic, is composed of 85.7% carbon and 14.3% hydrogen by mass. Find the empirical formula. If 1.56 g of cyclopropane occupies a volume of 1.00 L at 0.984 atm and 50 °C, what is the molecular formula for cyclopropane?" ...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "If the development process is terminated before the solvent reaches the finishing line, the position of the solvent front must be marked on the adsorbent layer immediately after the plate is removed from the development tank. After removal, the plate needs to be dried suitably d...	[ { "from": "human", "value": "If the development process is terminated before the solvent reaches the finishing line, the position of the solvent front must be marked on the adsorbent layer immediately after the plate is removed from the development tank. After removal, the plate needs to be dried suitably d...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "The hydrolysis of ATP at pH 7 can be written as:\\nAdenine-ribose - O - P - O - P - O - P - O^- + H_2O → HO - P - O^- + adenine-ribose - O - P - O^- + H^+\\n(a) The pK_a of the newly formed ionizable group on ADP is 6.68 at 25°C (K_a = 2.09 × 10^-7). Of the total ΔG'° of -7700 c...	[ { "from": "human", "value": "The hydrolysis of ATP at pH 7 can be written as:\\nAdenine-ribose - O - P - O - P - O - P - O^- + H_2O → HO - P - O^- + adenine-ribose - O - P - O^- + H^+\\n(a) The pK_a of the newly formed ionizable group on ADP is 6.68 at 25°C (K_a = 2.09 × 10^-7). Of the total ΔG'° of -7700 c...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "An organic compound containing C, H, O, and S is subjected to two analytical procedures. When a 9.33 mg sample is burned, it gives 19.50 mg of CO₂ and 3.99 mg of H₂O. A separate 11.05 mg sample is fused with Na₂O₂, and the resulting sulfate is precipitated as BaSO₄, which (when ...	[ { "from": "human", "value": "An organic compound containing C, H, O, and S is subjected to two analytical procedures. When a 9.33 mg sample is burned, it gives 19.50 mg of CO₂ and 3.99 mg of H₂O. A separate 11.05 mg sample is fused with Na₂O₂, and the resulting sulfate is precipitated as BaSO₄, which (when ...
null	stackexchange-physics	science	[ { "from": "human", "value": "\nI'm looking for the relation between four important equations which we study in stochastic processes in physics. These equations include Master, Fokker-Planck, Langevin, Kramers-Moyal and Boltzmann.\nAlso I want to know when can we use each of them? \nIn other word, what are b...	[ { "from": "human", "value": "\nI'm looking for the relation between four important equations which we study in stochastic processes in physics. These equations include Master, Fokker-Planck, Langevin, Kramers-Moyal and Boltzmann.\nAlso I want to know when can we use each of them? \nIn other word, what are b...
null	stackexchange-physics	science	[ { "from": "human", "value": "I am currently taking thermodynamics and am finding the concept of thermodynamic equilibrium rather difficult to grasp. My textbook gives a definition in terms of the virtual displacement of with respect to virtual displacements of variable $x_1,x_2,\\dots,x_n$ and writes\n$$\\d...	[ { "from": "human", "value": "I am currently taking thermodynamics and am finding the concept of thermodynamic equilibrium rather difficult to grasp. My textbook gives a definition in terms of the virtual displacement of with respect to virtual displacements of variable $x_1,x_2,\\dots,x_n$ and writes\n$$\\d...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "As you can see from the output, the analytic solution is output as exponentials. How do you reconcile these results compared with the previous ones in terms of sines and cosines?" }, { "from": "gpt", "value": "<think> Alright, so I have this problem where previously,...	[ { "from": "human", "value": "As you can see from the output, the analytic solution is output as exponentials. How do you reconcile these results compared with the previous ones in terms of sines and cosines?" }, { "from": "gpt", "value": "The solutions presented as exponentials and those using s...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "Test Problem 6\\n\\nThe ternary system (Ethanol(1) - Benzene(2) - Water(3)) has been widely studied due to the importance of the azeotropic distillation process used to separate ethanol and water using benzene as an entrainer. The system contains three binary homogeneous azeotro...	[ { "from": "human", "value": "Test Problem 6\\n\\nThe ternary system (Ethanol(1) - Benzene(2) - Water(3)) has been widely studied due to the importance of the azeotropic distillation process used to separate ethanol and water using benzene as an entrainer. The system contains three binary homogeneous azeotro...
null	stackexchange-physics	science	[ { "from": "human", "value": "I was using diffraction gratings, when I noticed that tilting them gives a parabolic pattern. If I tilt the top towards the screen, it gives a parabola with concave upward; while tilting the top away from the screen gives a parabola with concave downward. \nChanging the number o...	[ { "from": "human", "value": "I was using diffraction gratings, when I noticed that tilting them gives a parabolic pattern. If I tilt the top towards the screen, it gives a parabola with concave upward; while tilting the top away from the screen gives a parabola with concave downward. \nChanging the number o...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "Give the major product obtained when each of the following alkyl halides undergoes an E2 reaction: \nc. CH3CHCH2CH2CH3." }, { "from": "gpt", "value": "<think> Okay, so I need to figure out the major product when the alkyl halide CH3CH(CH2CH2CH3) undergoes an E2 reac...	[ { "from": "human", "value": "Give the major product obtained when each of the following alkyl halides undergoes an E2 reaction: \nc. CH3CHCH2CH2CH3." }, { "from": "gpt", "value": "When the alkyl halide 2-bromopentane (CH₂BrCH₂CH₂CH₂CH₃) undergoes an E2 reaction, the major product is det...
null	stackexchange-physics	science	[ { "from": "human", "value": "I want to understand the transmission coefficient and construct a time-independent Schrodinger equation where\n$$\nV(x)=\\left\\{\n \\begin{array}{c c}\n \\delta(x), & \|x\| < 1 \\\\\n + \\infty, & \|x\| \\geq 1. \\\\\n \\end{array}\n \\right.\n$$\n$$\n\\Psi(x,0)=\\left\\{...	[ { "from": "human", "value": "I want to understand the transmission coefficient and construct a time-independent Schrodinger equation where\n$$\nV(x)=\\left\\{\n \\begin{array}{c c}\n \\delta(x), & \|x\| < 1 \\\\\n + \\infty, & \|x\| \\geq 1. \\\\\n \\end{array}\n \\right.\n$$\n$$\n\\Psi(x,0)=\\left\\{...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "Which of the following atoms, in their ground electronic states, does not have a half-filled subshell?\n*A Ga \nB H \nC Mn \nD K \nE As " }, { "from": "gpt", "value": "<think> Okay, so I need to figure out which of the given atoms does not have a half-filled sub...	[ { "from": "human", "value": "Which of the following atoms, in their ground electronic states, does not have a half-filled subshell?\nA Ga \nB H \nC Mn \nD K \nE As " }, { "from": "gpt", "value": "The atom that does not have a half-filled subshell in its ground electronic state is *Ga (Gal...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "How many grams of nitrogen would be required to completely react with 11.2 liters of hydrogen to give ammonia? How many grams of ammonia are produced? \\[ \\text{N}_2 + 3\\text{H}_2 = 2\\text{NH}_3 \\]" }, { "from": "gpt", "value": "<think> Okay, let's tackle this ch...	[ { "from": "human", "value": "How many grams of nitrogen would be required to completely react with 11.2 liters of hydrogen to give ammonia? How many grams of ammonia are produced? \\[ \\text{N}_2 + 3\\text{H}_2 = 2\\text{NH}_3 \\]" }, { "from": "gpt", "value": "To determine how many grams of nit...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "A chemical reaction in a laboratory with volume \\( V \\) (in ft\\(^3\\)) produces at \\( f^3 \\)/min of a noxious gas as a byproduct. The gas is dangerous at concentrations greater than \\( C \\), but harmless at concentrations \\( \\leq C \\). Intake fans at one end of the lab...	[ { "from": "human", "value": "A chemical reaction in a laboratory with volume \\( V \\) (in ft\\(^3\\)) produces at \\( f^3 \\)/min of a noxious gas as a byproduct. The gas is dangerous at concentrations greater than \\( C \\), but harmless at concentrations \\( \\leq C \\). Intake fans at one end of the lab...
null	stackexchange-physics	science	[ { "from": "human", "value": "Consider a Riemannian Manifold with a metric tensor $g_{\\mu\\nu}$ and coordinates $(t, x^i)$. Let us assume that the spacetime is stationary, so $\\partial_t g_{\\mu\\nu} = 0$. At a fixed coordinate time slice $t = t_f$, imagine placing an observer at each spatial coordinate p...	[ { "from": "human", "value": "Consider a Riemannian Manifold with a metric tensor $g_{\\mu\\nu}$ and coordinates $(t, x^i)$. Let us assume that the spacetime is stationary, so $\\partial_t g_{\\mu\\nu} = 0$. At a fixed coordinate time slice $t = t_f$, imagine placing an observer at each spatial coordinate p...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "The evidence that convinced chemists about these two mechanisms is kinetic: it relates to the rate of the reactions. It was discovered, chiefly by Hughes and Ingold in the 1930s, that some nucleophilic substitutions are first-order, that is, the rate depends only on the concentr...	[ { "from": "human", "value": "The evidence that convinced chemists about these two mechanisms is kinetic: it relates to the rate of the reactions. It was discovered, chiefly by Hughes and Ingold in the 1930s, that some nucleophilic substitutions are first-order, that is, the rate depends only on the concentr...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "The average O.P. of human blood is 7.7 atm at 40°C. Calculate, assuming molarity and molality be same: (a) Concentration of blood in molarity. (b) Freezing point of blood. Given K_f of H_2O = 1.86 K molality^{-1}" }, { "from": "gpt", "value": "<think> Okay, so I need...	[ { "from": "human", "value": "The average O.P. of human blood is 7.7 atm at 40°C. Calculate, assuming molarity and molality be same: (a) Concentration of blood in molarity. (b) Freezing point of blood. Given K_f of H_2O = 1.86 K molality^{-1}" }, { "from": "gpt", "value": "(a) To calculate the co...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "In the mechanism \\n\\[ A + B \\overset{\\frac{1}{2}}{\\rightarrow} C, \\quad C \\underset{3}{\\rightarrow} B + D \\]\\n\\nSubstance C is very reactive and reaches steady state with \\n\\[ \\frac{dC}{dt} = k_1 AB - k_2 C - k_3 C = 0 \\]\\n\\n\\[ C = \\frac{k_1}{k_2 + k_3} AB \\]...	[ { "from": "human", "value": "In the mechanism \\n\\[ A + B \\overset{\\frac{1}{2}}{\\rightarrow} C, \\quad C \\underset{3}{\\rightarrow} B + D \\]\\n\\nSubstance C is very reactive and reaches steady state with \\n\\[ \\frac{dC}{dt} = k_1 AB - k_2 C - k_3 C = 0 \\]\\n\\n\\[ C = \\frac{k_1}{k_2 + k_3} AB \\]...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "\\[ \\text{C}_6\\text{H}_6 + (\\text{CH}_3)_2\\text{CHCH}_2\\text{OH} \\xrightarrow{\\text{H}_2\\text{SO}_4} \\]\\n\\n\\[\\n \\begin{array}{c}\\n \\text{CH}_3 \\\\\\n \| \\\\\\n \\text{C}_6\\text{H}_5 \\\\\\n \| \\\\\\n \\text{C} \\text{---} \\text{CH}_3 \\\\\\n ...	[ { "from": "human", "value": "\\[ \\text{C}_6\\text{H}_6 + (\\text{CH}_3)_2\\text{CHCH}_2\\text{OH} \\xrightarrow{\\text{H}_2\\text{SO}_4} \\]\\n\\n\\[\\n \\begin{array}{c}\\n \\text{CH}_3 \\\\\\n \| \\\\\\n \\text{C}_6\\text{H}_5 \\\\\\n \| \\\\\\n \\text{C} \\text{---} \\text{CH}_3 \\\\\\n ...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "Explain the following reactions.\\n\\n(a) Reaction: H+ Heat\\n\\nReaction: This is a pericyclic rearrangement called Carroll rearrangement. It involves the transformation of a β-allyl ester into an α-allyl-β-ketoacryloxylic acid, accompanied by decarboxylation, resulting in a γ,...	[ { "from": "human", "value": "Explain the following reactions.\\n\\n(a) Reaction: H+ Heat\\n\\nReaction: This is a pericyclic rearrangement called Carroll rearrangement. It involves the transformation of a β-allyl ester into an α-allyl-β-ketoacryloxylic acid, accompanied by decarboxylation, resulting in a γ,...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "Because of the scaling law developed in Problem 11–13, Gaussian fits are usually made with respect to a Slater orbital with \\(\\zeta = 1.00\\) and then the various Gaussian exponents are scaled according to \\(\\alpha(\\zeta = \\zeta) = \\alpha(\\zeta = 1.00) \\times \\zeta^2\\...	[ { "from": "human", "value": "Because of the scaling law developed in Problem 11–13, Gaussian fits are usually made with respect to a Slater orbital with \\(\\zeta = 1.00\\) and then the various Gaussian exponents are scaled according to \\(\\alpha(\\zeta = \\zeta) = \\alpha(\\zeta = 1.00) \\times \\zeta^2\\...
null	stackexchange-physics	science	[ { "from": "human", "value": "Let $\\vec a$ be a given vector, and $\\vec J=[\\hat J_x,\\hat J_y,\\hat J_z]$ the total angular momentum operator. $\\vec \\beta$ is an unknown vector, to be solved for, which satisfies\n$$\n\\vec a=\\mathrm{Tr}[\\vec J\\exp(\\vec \\beta\\cdot\\vec J)].\n$$\nHow to solve this ...	[ { "from": "human", "value": "Let $\\vec a$ be a given vector, and $\\vec J=[\\hat J_x,\\hat J_y,\\hat J_z]$ the total angular momentum operator. $\\vec \\beta$ is an unknown vector, to be solved for, which satisfies\n$$\n\\vec a=\\mathrm{Tr}[\\vec J\\exp(\\vec \\beta\\cdot\\vec J)].\n$$\nHow to solve this ...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "Using the method of isoclines, make approximate constructions of fields of integral curves for the differential equation y' = 1 + y^2." }, { "from": "gpt", "value": "<think> Okay, so I need to use the method of isoclines to approximate the integral curves for the dif...	[ { "from": "human", "value": "Using the method of isoclines, make approximate constructions of fields of integral curves for the differential equation y' = 1 + y^2." }, { "from": "gpt", "value": "To approximate the integral curves of the differential equation \\( y' = 1 + y^2 \\) using the method...
null	stackexchange-physics	science	[ { "from": "human", "value": "In this post, I claimed in my answer that $\\partial_{\\mu}^{\\dagger}=\\partial_{\\mu}$. The reason I claimed that is because $D^{\\dagger}_{\\mu}=\\partial_{\\mu}-iqA_{\\mu}$ and I assumed that\n$$(\\partial_{\\mu}+iqA_{\\mu})^{\\dagger}=\\partial_{\\mu}^{\\dagger}+(iqA_{\\mu...	[ { "from": "human", "value": "In this post, I claimed in my answer that $\\partial_{\\mu}^{\\dagger}=\\partial_{\\mu}$. The reason I claimed that is because $D^{\\dagger}_{\\mu}=\\partial_{\\mu}-iqA_{\\mu}$ and I assumed that\n$$(\\partial_{\\mu}+iqA_{\\mu})^{\\dagger}=\\partial_{\\mu}^{\\dagger}+(iqA_{\\mu...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "A proton and a deuteron are projected towards the stationary gold nucleus, in different experiments, with the same speed. The distance of closest approach will be (a) same for both (b) greater for proton (c) greater for deuteron (d) depends on speed" }, { "from": "gpt", ...	[ { "from": "human", "value": "A proton and a deuteron are projected towards the stationary gold nucleus, in different experiments, with the same speed. The distance of closest approach will be (a) same for both (b) greater for proton (c) greater for deuteron (d) depends on speed" }, { "from": "gpt", ...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "A current of 0.5 A is passed through acidulated water for 30 minutes. Calculate weight of \\( H_2 \\) and \\( O_2 \\) evolved. Also calculate the volume of \\( O_2 \\) produced at 25°C and 760 mm of Hg if the gas is:\\n(a) dry \\n(b) saturated with water vapour (aqueous tension...	[ { "from": "human", "value": "A current of 0.5 A is passed through acidulated water for 30 minutes. Calculate weight of \\( H_2 \\) and \\( O_2 \\) evolved. Also calculate the volume of \\( O_2 \\) produced at 25°C and 760 mm of Hg if the gas is:\\n(a) dry \\n(b) saturated with water vapour (aqueous tension...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "81. Which of the following does not contain O—O bond?\\n(a) S₂O₃²⁻\\n(b) S₂O₆²⁻\\n(c) SO₃²⁻\\n(d) S₂O₇²⁻" }, { "from": "gpt", "value": "<think> Okay, so I need to figure out which of these compounds doesn't have an O—O bond. The options are (a) S₂O₃²⁻, (b) S₂O₆²⁻, (c...	[ { "from": "human", "value": "81. Which of the following does not contain O—O bond?\\n(a) S₂O₃²⁻\\n(b) S₂O₆²⁻\\n(c) SO₃²⁻\\n(d) S₂O₇²⁻" }, { "from": "gpt", "value": "To determine which compound does not contain an O—O bond, we analyze the structure and bonding of each given ion:\n\n1. **S₂O₃²⁻ (T...
null	stackexchange-physics	science	[ { "from": "human", "value": "I have a multibody system with Coulomb friction:\n\nI'm able to write horizontal linear momentum conservation equations:\n\n$m_1 \\ddot{x}_1 = F_1 - F_{f12}$\n$m_2 \\ddot{x}_2 = F_2 + F_{f12} - F_{f23}$\n$m_3 \\ddot{x}_3 = F_3 + F_{f23} - F_{f34}$\n$m_4 \\ddot{x}_4 = F_4 + F_{f3...	[ { "from": "human", "value": "I have a multibody system with Coulomb friction:\n\nI'm able to write horizontal linear momentum conservation equations:\n\n$m_1 \\ddot{x}_1 = F_1 - F_{f12}$\n$m_2 \\ddot{x}_2 = F_2 + F_{f12} - F_{f23}$\n$m_3 \\ddot{x}_3 = F_3 + F_{f23} - F_{f34}$\n$m_4 \\ddot{x}_4 = F_4 + F_{f3...
null	stackexchange-physics	science	[ { "from": "human", "value": "\nSuppose we have n electrons and want to construct the wavefunction corresponding to the spins of the electrons. Can we construct this wavefunction (in the $(s_1,s_2,s_3 ... s_n)$ representation, so not the $(S^2,S_z)$ representation; the C.G. coefficients relate the two repres...	[ { "from": "human", "value": "\nSuppose we have n electrons and want to construct the wavefunction corresponding to the spins of the electrons. Can we construct this wavefunction (in the $(s_1,s_2,s_3 ... s_n)$ representation, so not the $(S^2,S_z)$ representation; the C.G. coefficients relate the two repres...
null	stackexchange-physics	science	[ { "from": "human", "value": "I am currently studying quantum field theory as part of my degree. I'm just lacking intuition or an understanding of some basic concepts. So please don't hesitate to correct me if i got something wrong.\nLet's start with the quantization of the real scalar field. As I understand...	[ { "from": "human", "value": "I am currently studying quantum field theory as part of my degree. I'm just lacking intuition or an understanding of some basic concepts. So please don't hesitate to correct me if i got something wrong.\nLet's start with the quantization of the real scalar field. As I understand...
null	stackexchange-physics	science	[ { "from": "human", "value": "This is taken from the first example in Griffith's intro to QM:\n\nSuppose I drop a rock off a cliff of height h. As it falls, I snap a million photographs, at random intervals. On each picture I measure the distance the rock has fallen. Question: What is the average of all thes...	[ { "from": "human", "value": "This is taken from the first example in Griffith's intro to QM:\n\nSuppose I drop a rock off a cliff of height h. As it falls, I snap a million photographs, at random intervals. On each picture I measure the distance the rock has fallen. Question: What is the average of all thes...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "In general, the inductive effects that played a role in Brønsted-Lowry acids and bases will also influence the relative acidity or basicity of a Lewis acid or a Lewis base. The pertinent inductive effects are clear when comparing BF3 and B(CH3)3, where fluorine in BF3 is electro...	[ { "from": "human", "value": "In general, the inductive effects that played a role in Brønsted-Lowry acids and bases will also influence the relative acidity or basicity of a Lewis acid or a Lewis base. The pertinent inductive effects are clear when comparing BF3 and B(CH3)3, where fluorine in BF3 is electro...
null	stackexchange-physics	science	[ { "from": "human", "value": "I have come across to the statement that the cross product of two polar vectors or two pseudo vectors is a pseudo vector, but the cross product between a pseudo vector and a polar vector is a polar vector. What is the proof of this statement?\n" }, { "from": "gpt", "...	[ { "from": "human", "value": "I have come across to the statement that the cross product of two polar vectors or two pseudo vectors is a pseudo vector, but the cross product between a pseudo vector and a polar vector is a polar vector. What is the proof of this statement?\n" }, { "from": "gpt", "...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "In the treatment of the previous problem, the adsorbed phase is regarded as a continuum. By contrast, the adsorbate molecules may be regarded as occupying definite sites in the surface. (An identical formalism describes reaction occurring at fixed sites on a macromolecule.) The ...	[ { "from": "human", "value": "In the treatment of the previous problem, the adsorbed phase is regarded as a continuum. By contrast, the adsorbate molecules may be regarded as occupying definite sites in the surface. (An identical formalism describes reaction occurring at fixed sites on a macromolecule.) The ...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "The ethereal solution is dried over anhydrous Glauber's salt after the extraction of naphthol. What is used to dry the ethereal solution of naphthol after extraction?" }, { "from": "gpt", "value": "<think> Okay, let's tackle this question. The user is asking about dr...	[ { "from": "human", "value": "The ethereal solution is dried over anhydrous Glauber's salt after the extraction of naphthol. What is used to dry the ethereal solution of naphthol after extraction?" }, { "from": "gpt", "value": "The ethereal solution of naphthol is dried using **anhydrous sodium s...
null	stackexchange-physics	science	[ { "from": "human", "value": "Background\nI'm trying to understand a solid-solid phase transition. In this transition, a crystalline material changes from one phase to the other. An example would be the alpha iron / gamma iron transition. In this transition the cell structure changes from BCC to FCC. I'm try...	[ { "from": "human", "value": "Background\nI'm trying to understand a solid-solid phase transition. In this transition, a crystalline material changes from one phase to the other. An example would be the alpha iron / gamma iron transition. In this transition the cell structure changes from BCC to FCC. I'm try...
null	stackexchange-physics	science	[ { "from": "human", "value": "I have to prove that the vacuum expectation value of energy-momentum tensor of a scalar field (in flat spacetime) can be written as, $$\\langle 0\|T_{\\mu\\nu}\|0\\rangle=-\\langle \\rho\\rangle\\eta_{\\mu\\nu}.$$\nwhere, $\\langle\\rho\\rangle$ is the vacuum energy density. I hav...	[ { "from": "human", "value": "I have to prove that the vacuum expectation value of energy-momentum tensor of a scalar field (in flat spacetime) can be written as, $$\\langle 0\|T_{\\mu\\nu}\|0\\rangle=-\\langle \\rho\\rangle\\eta_{\\mu\\nu}.$$\nwhere, $\\langle\\rho\\rangle$ is the vacuum energy density. I hav...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "(a) Dimethyl sulfate has two electrophilic methyl groups, each of which can be transferred to an acetylide ion: \\n\\nElectrophilic Methyl Groups: (CH_3O)_2SO_2 \\n\\nA mechanism is shown here. First, an acetylide ion functions as a nucleophile and attacks one of the methyl grou...	[ { "from": "human", "value": "(a) Dimethyl sulfate has two electrophilic methyl groups, each of which can be transferred to an acetylide ion: \\n\\nElectrophilic Methyl Groups: (CH_3O)_2SO_2 \\n\\nA mechanism is shown here. First, an acetylide ion functions as a nucleophile and attacks one of the methyl grou...
null	organic-chemistry-questions	science	[ { "from": "human", "value": "E. coli proliferates faster on the monosaccharide glucose than it does on the disaccharide lactose for two reasons: (1) lactose is taken up more slowly than glucose and (2) lactose must be hydrolyzed to glucose and galactose (by β-galactosidase) before it can be further metaboli...	[ { "from": "human", "value": "E. coli proliferates faster on the monosaccharide glucose than it does on the disaccharide lactose for two reasons: (1) lactose is taken up more slowly than glucose and (2) lactose must be hydrolyzed to glucose and galactose (by β-galactosidase) before it can be further metaboli...