【急募】 大学の一般化学（量子力学）の問題です。 波動関数とか、ハミルトニアンとか、、、 わかる問題だけでもいいので解説をお願いします🙇‍♀️🙇‍♀️

全 xce 以下の問題に答えよ。 文字の定義は授業と同じ。 (1) 水素原子における電子のハミルトニアンは,次のように表される｡ H² (2 0 - (1² or) + A = - 2me ər (3) • ● Cear HA EGERSAR 0. ●(r, 0,y) = Cerがシュレディンガー方程式の解になるようにαを定め, エネルギー固有値を求めよ。 答えはボーア半径 (do AREOR² = ト) を使った表記とすること｡ meez (1,0p) = Crer coseがシュレディンガー方程式の解になるようにβを定め、エネルギー固有値を求め よ。 答えはボーア半径 (a 402. m₂e² を使った表記とすること。 ・規格化定数を求めるために以下の計算を行う。 空欄 ①~③を埋めよ。 以下の問いに答えよ。 AT THE ARE ● = 1 a 1 ²sine 00 (sines) + ²in²00²)- ressin20a2 Sy2dt = fffy2r2sin0drdodyを変数分離し,各変数ごとに定積分を行う。そ に関する定積分を実行すると (1) (B)-SIEDS F 9 に関する定積分を実行すると CARTE* ONE 31011218018 積分公式Sorne-br drを使ってrに関する定積分を実行すると 従ってC=1/√32ma5 水素様原子のシュレーディンガー方程式は 1²/10 a 1 ə rasino ao (1-²2 20 (²²0). + ər arl 2m (2) 水素原子における1s軌道の波動関数は Cer/ で与えられる｡ ただしは規格化定数である。 動径分 VEAU 布関数電子が原子核から距離rの球面上に存在する確率密度) の極大値を求めよ。 HOFFE HISENSE CO 2 SMERES a sino 200+ E = 4πεr 1 2² Ze² y(r,0,9). ressin2002 4πεor である (ポテンシャルエネルギーの項で, e2がZe2になっている)。 以下の問いに答えよ。 100 Jy² dr VEEBR 3 TERENGUKS GA ここで各原子 (4) H2分子の分子軌道を水素の1s原子軌道XA XBの線形結合↓ =CaX^+ CaXで近似する。 軌道の中心はそれぞれ原子核 (H+) A, B である。 1電子エネルギーの期待値は=(2) Syd_cha+Cfa + 2CACBβ (8− 1)\1 = (x1 T4² dr C+C E = で与えられる。 ただしα, βはそれぞれクーロン積分, 共鳴積分であり、重なり積分は無視している。 ERSACERO 以下の問いに答えよ。 (1) Eが最小になる条件から永年行列式を導け。 永年行列式を解いて、 結合性軌道のエネルギーを求めよ。 1 514 r' =Zrとおいてrとp(r', 0,p)を用いたシュレディンガー方程式を書け。 水素原子の規格化された原子軌道とエネルギーをそれぞれce", Enとして, 水素様原子の1s軌道 のエネルギーと規格化された波動関数を求めよ。 答えにC, α, Enを使ってよい。 C²+C² (r,0,0) = E(r,0,9) (5) 異核2原子分子 AB の分子軌道を原子軌道XA XBの線形結合 = CAXA CBXBで近似すると, 1電子工 ネルギーの期待値は Sdr_chan+Cfap+2C^CBβ TOUCU BOUCA

文法的なミスを指摘してください。 文自体は変えたくないので文法ミスを箇条書きして頂けるとありがたいですm(_ _)m 読みにくい英作ですみません。

14:54 ◆ フォルダ all 72 Japanese students, most of them must start job hunting when they become juniors, should experience working part time while their first and second years. By working, they can meet people from various background, learn the kinds of skills they can't learn in classrooms, and note the difficulty and significance to be a worker in society. Such experiences, along with their studies, will help them decide what kind of occupation seek after graduation. Japanese college students should go to abroad and talk with foreigners in English. It will help them improve their ability to speak English. Recently, English is becoming more and more important, and they may have to use English in their works after graduation. Almost college students in Japan cannot speak English even after having studied it for a long time. That's because they should go to foreign countries and practice speaking English. ||

select と　selection の違いはなんですか？

TOEICの名詞問題です。答えを教えて下さい🙇‍♀️

CD1-24 えを確認 ek (9) ) する (A) 問題】 のと ren W ies er Warming Up 日本語の意味に合うように、正しい選択肢を選びましょう。 1. a few ( a. worker b. workers) : 2. th a lot of (a. enjoy b. enjoyment) 3. 1 an (a. active b. activity) 4. tu: a big (a. difference b. different) 5.5 an excellent ( a. decide b. decision) Now You Try! 4つの選択肢から最も適切な選択肢を選び、 文を完成させましょう。 ---- is very popular in this pet shop. ------- (A) produces (B) produced (C) producing (D) product 1. The - buys vegetables here every day. 3. A ------- (A) customer (B) customize (C) customizing (D) customized 2. A new opened in the Green Forest mall. (A) shopper (B) shop (C) shopping (D) shopped !VT UOY woll 4. People make many cashless now. (A) pay (B) paying (C) payments (D) payer in January. 5. The department store has a (A) sale (B) sell (C) sales (D) selling 6. There are many fashionable shops in the -------- (A) build (B) building (C) built (D) builder of toys. (C) selected (D) selection 7. The store has an excellent - (A) select (B) selecting READIN CCheckLink 8. Some about the new shopping center is on the Web site. (A) inform (B) informing (C) information (D) informed CheckLin

TOEICの代名詞の問題です。答えを教えて下さい🙇‍♀️

ローマ字 Unit 2 Dining Out Warming Up 正しい選択肢を選び、文を完成させましょう。 b. They) are from England. b. her) every Monday. 1. (a. He 2. I see (a. she 3. That's (a. my b. me) coat. 4. Bob is a friend of (a. ours b. us). 2. The chef cooked a special dinner for (A) we (B) our (C) us (D) ours Give me some water. 他+目 Testische for us 前+代名詞 Now You Try! 4つの選択肢から最も適切なものを選び、文を完成させましょう。 1. don't need a reservation for Pietro's Pizza. (A) You (B) Your (C) Yours (D) Yourself 3. Bob Flemming is selling - (A) he (B) his (C) him (D) himself 12 seafood restaurant. 4. Mrs. Rogers bakes fresh pies, and her customers love (A) they (B) them (C) their (D) theirs 5. The Sunny Café owners will open shop in Seattle. (A) they (B) them (C) their (D) themselves 6. Mary owns the restaurant with a friend of - (A) she (B) her (C) hers (D) herself 7. Customers enjoyed - at the Fireside Restaurant. (A) they (B) their (C) them (D) themselves 8. Barney's Kitchen has a great menu for couples and ------ (A) they (B) their (C) them (D) theirs children.

TOEICの動詞の単数、複数問題です。 答えを教えてください🙇‍♀️なさい

Warming Up 正しい選択肢を選び、文を完成させましょう。 1. Everyone (a. make b. makes) mistakes. 2. Each student ( a. make b. makes) a short speech in English. 3. Some people (a. make b. makes) interesting videos on YouTube. 4. The birds (a. make b. makes) a lot of noise in the morning. Now You Try! 4つの選択肢から最も適切なものを選び、文を完成させましょう。 1. The chairs in the living room ------- new. (A) is (B) are (C) has been (D) was 2. The cost of the new window (A) are (B) be (C) is_(D) were 3. Most rooms in the hotel ------- Wi-Fi service. (A) has (B) have (C) is having (D) has had $250. ------- 4. The house for sale (A) has (B) have (C) having (D) are having three bedrooms and two bathrooms. IYIT DOY 5. Every room in Sun Apartments ------- an ocean view. (A) provide (B) provides (C) are providing (D) have provided 6. A new dormitory for the students------- near the campus. (A) open (B) have opened (C) are opening (D) has opened ------- 7. House prices in the city - this year. (A) goes up (B) has gone up (C) is going up (D) have gone up READING CheckLink CheckLink 8. This convenient neighborhood ------- popular with young couples. (A) become (B) are becoming (C) is becoming (D) have become

TOEICの副詞の問題です。答えを教えてください🙇‍♀️

ravel Now You Try! 4つの選択肢から最も適切なものを選び、文を完成させましょう。 1. The airplane arrived -- at the airport. (A) safely_(B) safe (C) safeness (D) safety ------- 2. The weather was fine for sightseeing. (A) perfect (B) perfectly (C) perfection (D) perfected 3. From the hotel, you can walk- to the beach. (A) ease (B) easiness (C) easily (D) easy novelamo tablius volu 4. Please check Mr. Clark's travel schedule ---- (A) careful (B) carefulness (C) care (D) carefully 5. The number of tourists goes up ------- in the summer. (A) greatness (B) great (C) greaten (D) greatly ----- ng the dones 6. Shuttle buses to the airport leave (A) regular (B) regulate (C) regularly (D) regulation ME SO 7. All trains are running very ------- this morning. (A) smooth (B) smoothen (C) smoothness (D) smoothly 8. The special tour to Hawaii sold out --- (A) quickly (B) quick (C) quickness (D) quickenlos ylla

英検準1級writingです。どなたか採点して頂けますか？ 分かりにくい所あれば遠慮なく言ってください。

Agree or Developed countries are obliged to assist less developed countries Write your English Composition in the space below. Developed countries should assist less developed countries. First, most of developping countries such aso Africa countries have no sufficient foods and building to live good condition. Also, these countries have little budget to promote their economies. It can be said that they can't make both and meet their own possetions. For settling this matter, d'the best way of making developing countries grow is to give opportunity of working. By doing to So, they would earn money and use this to solute this circumstance./2 10 15 Second 1 Supporting developing country would thake countifies all over the world peace. Communicating each other by discussing is one of trigger to get along with each countries. Keeping good relationship would enable us ¹e c not to agonize war. 15 Therefore, to supporti developping countries allow give 20 good wealth to not only these countries but also developed countries. 25 SEM 8 目

the more time you spend, the more your English improves. のような文で、moreの直後に形容詞や名詞が付くことがありますが、どのような単語がmoreの後にくるべきなのか判断できません。教えてください。

【至急】この穴埋め問題の答えを教えて欲しいです。

Progress test (Part 1) Drag the words into the correct spaces. some of few 1/2 some a few enough neither lots of both little every each no information about attractions in the city. There are Coming to London for a weekend? Here's interesting places to visit - you won't have time to see them all. Firstly, visit to London would be complete without seeing Big Ben. The clock at the Houses of Parliament has become a symbol of London, but few✔ tourists know that Big Ben is actually the name of the bell, not day, so arrive early. the clock or the clock tower. On the opposite side of the river is the London Eye, the world's biggest observation wheel. holding 25 people, but there are still queues nearly There are 32 sections, If you'd like somewhere scientific, you could go to the Natural History Museum or the Science Museum. Entry to of these appeal to you, you may prefer Madame Tussaud's, the museum where is free. Or, if you can meet the world's most famous people made of wax. You could meet the Queen of England there, or you could hope to see her at Buckingham Palace, her London home, just the most valuable jewels in the world. stops away on the London Underground 'Tube' train. If you want to see more royal palaces, try the Tower of London, where you can see the Crown Jewels, If that isn't for one trip, why not go to Shakespeare's Globe Theatre, a reconstruction of the 1599 theatre extra money, you can even see a play there. where his plays were performed. If you have a