- 229
- 141 738
王不老說半导
United States
Приєднався 11 лис 2021
The magic of semiconductors 16 contact, source and drain vs chicken blood
The magic of semiconductors 16 contact, source and drain vs chicken blood, coact over active gate, Intel, TSMC, Samsung and IBM
Переглядів: 172
Відео
The magic of semiconductors _15, 2nm Intel, IBM and TSMC, SiGe, SiGeO2, BDI, PTS, Selective etch
Переглядів 229Місяць тому
The magic of semiconductors _15, 2nm Intel, IBM and TSMC, SiGe vs Si, SiGeO2, BDI, PTS, Selective etch of SiGe and Si, bottom dielectric isolation, punch thru stopper, eSiGe epi, Siconi vs Previum
The magic of semiconductors 14 Nemesis, Feuds or Buddies in the silicon world, bulk Si vs SOI FETs
Переглядів 152Місяць тому
The magic of semiconductors 14 Nemesis, Feuds or Buddies in history and in the silicon world, bulk Si vs SOI vs CPO co-packaged optics, Samsung, Globalfoundries, IBM, Intel
The magic of semiconductors 13 and packaging process technology 17 The sound of demons MIM
Переглядів 2872 місяці тому
The magic of semiconductors 13 and packaging process technology 17, The sound of demons MIM decoupling capacitor for voltage drooping reduction, ODC, DTC, TSMC, Intel and Samsung
The magic of semiconductors _12, Is SiC more man than Si? reliability statistics
Переглядів 2042 місяці тому
The magic of semiconductors 12_, Is SiC more man than Si, i.e., do/are they_ Rugged and Reliable from GOI perspective ?_ Willing to sacrifice for “miànzi”? _ Look tough/weak on the outside/inside? BTW, a dose of reliability statistics (Weibull and Cum-plot) using foundries Si-CMOS examples
Process technology hot topics passivation comparison Si-CMOS and GaN SiC power devices
Переглядів 2503 місяці тому
Process technology hot topics, a passivation comparison among Si-CMOS and GaN, SiC power devices
11 The magic of semiconductors__Is Charge Neutrality Level the inner child
Переглядів 3843 місяці тому
The magic of semiconductors_11, Is Charge Neutrality Level the inner child? Fermions @ bulk, surface and interface_House arrest by Pauli (Exclusion Principle)_Deducing Fermi Level EF from 20 fermions_Free surface is not free at all_Demons wreaking havoc @ interface
10 The magic of semiconductors My wild thoughts about what Education in the AI Era can and should be
Переглядів 1504 місяці тому
10 The magic of semiconductors My wild thoughts about what Education in the AI Era can and should be, Breaking Shannon Limit in Human Learning_Juxtaposition of angels and demons to open the 3rd eye _ Paradigm shift by AI Protégé Effects and Feynman Method through Juxtaposition
我與半導體的玄幻對話 10 modern education in AI era
Переглядів 1654 місяці тому
我與半導體的玄幻對話 10 modern education in AI era, perplexity, connectedpapers, chatpdf, copilot, scispace, co-pilot, juxtaposition,
我與半導體的玄幻對話9 Epitaxy Native Oxides of Si, Ge and III V, Their Passivation and Removals
Переглядів 2724 місяці тому
Epitaxy Native Oxides of Si, Ge and III V, Their Passivation and Removals
我與半導體的玄幻對話8 explain the HBM competition based upon the Five Elements and bible
Переглядів 5924 місяці тому
我與半導體的玄幻對話8 explain the HBM competition based upon the Five Elements and bible, TSMC, Samsung and Intel
FDSOI魔鬼制程挑戰之十七 滑不溜手的NiSi NiPt and Defect Reduction
Переглядів 3225 місяців тому
FDSOI, NiSi, alloying effect, piping defects, NiPt and Defect Reduction
我與半導體的玄幻對話7 脆皮烤豬與牛排的HVM介面製程 SiOx IL engineering
Переглядів 3786 місяців тому
為何製程高手面子,裡子都要? 脆皮烤豬烤鴨的HVM關鍵製程, 缺陷地獄的但丁神曲論, A Deep Dive into Interfacial Layer SiOx Engineering, dipole, defect distribuiton at band edges, defect reduction by reliability anneals and atomic hydrogen anneals, Si-O bond 1.65A limuts,
我與半導體的玄幻對話6 芯片之戰已經進入屁股戰國時期
Переглядів 3576 місяців тому
我與半導體的玄幻對話_6, 淺論古今中外的屁股哲學_芯片之戰已經進入屁股戰國時期, A Deep Dive into Backside (with a touch of Frontside and SiCN for HBI) Metallization Processes of Power Devices (SPTS vs Evatec)
我與半導體的玄幻對話 5 半導製程高手對魔鬼數字的敬畏
Переглядів 3436 місяців тому
我與半導體的玄幻對話_5_半導製程高手對魔鬼數字的敬畏, Art and Science, Boltzmann demon, SS =60, mVt evolution, Dfin and fin buckling
16 Packaging process technology Electromigration Concerns Grow In Advanced Packages
Переглядів 3377 місяців тому
16 Packaging process technology Electromigration Concerns Grow In Advanced Packages
The magic of semiconductors 4 thermal, plasma, HT, LT hydrogen, oxygen anneals, reflows and SPE, SDE
Переглядів 3758 місяців тому
The magic of semiconductors 4 thermal, plasma, HT, LT hydrogen, oxygen anneals, reflows and SPE, SDE
15 Packaging tecnology_ die stitching, yield, cost, die sizes, TSMC, AMD, Nvidia, Apple, Cerebras
Переглядів 4718 місяців тому
15 Packaging tecnology_ die stitching, yield, cost, die sizes, TSMC, AMD, Nvidia, Apple, Cerebras
The magic of semiconductors 3 Angels and demons in CMOS Part 1 Vt demons
Переглядів 1879 місяців тому
The magic of semiconductors 3 Angels and demons in CMOS Part 1 Vt demons
The magic of semiconductors 2 My and their Gedanken fun moments with EVAC, EF and ECNL
Переглядів 1189 місяців тому
The magic of semiconductors 2 My and their Gedanken fun moments with EVAC, EF and ECNL
9 Manufacturing and Process Optimization of Wide Bandgap Power Devices E mode GaN with AI
Переглядів 2959 місяців тому
9 Manufacturing and Process Optimization of Wide Bandgap Power Devices E mode GaN with AI
The magic of semiconductor physics Part 1 Fermions vs Yin and Yang Eng
Переглядів 19010 місяців тому
The magic of semiconductor physics Part 1 Fermions vs Yin and Yang Eng
The magic of semiconductor physics Part 1
Переглядів 44511 місяців тому
The magic of semiconductor physics Part 1
2 Process hot topics Vt controls of Si, SiGe, GaN, SiC, InGaAs Part 1
Переглядів 300Рік тому
2 Process hot topics Vt controls of Si, SiGe, GaN, SiC, InGaAs Part 1
1 1 半導體製程聚焦論壇 何者為上位,Si, Ge, GaN and cFET
Переглядів 958Рік тому
1 1 半導體製程聚焦論壇 何者為上位,Si, Ge, GaN and cFET
1 Process hot topics which one is on top, cases of Si Ge GaN and CFET
Переглядів 525Рік тому
1 Process hot topics which one is on top, cases of Si Ge GaN and CFET
14 Packaging process technology Part 2 packaging reliability Comparing CMOS vs Packaging
Переглядів 422Рік тому
14 Packaging process technology Part 2 packaging reliability Comparing CMOS vs Packaging
老王大大講的很棒!謝謝您❤
謝謝啦!
兩年後在複習一次,王老師內容還是一樣充實,但intel真的快不行了😂
Great video as always! Professor Wang are you attending IEDM this year?
I wish I were there with you.😁
教授您好,很感激您的讲课,请问您的极限运动2课程在UA-cam有上传吗?
OOPS, I could misnamed the title. However, I have similar videos for you, e.g., ua-cam.com/video/kJmn0uXIewA/v-deo.html I am also working on the extreme SD and is to be published soon.
This is one hell of a dump of valuable information! Thanks!
glad you like them..I love it too!
Thanks!
WOW, thanks!
老師您好,不好意思想再請教一些問題: 1. 1:14:31 圖中,E_FS似乎沒有align E_CNL,那決定band bending程度是看怎麼樣整體的系統可以達到電中和嗎? 2. 1:32:39提到的缺陷密度,是不是算是等價於陷阱密度Dit呢? 因為缺陷會trap電子,也算是一種陷阱? 謝謝老師!
E_FS沒有align E_CNL是正常的,只是Surface states 會因此帶電,建議找ref. (Kuhn)來看,她說的比我嚴謹多了
好的,我會找那篇paper來看看,謝謝老師!
@@lirunogo She is a very smart lady. Super tough as well.
想請問老師一些問題: 1. 36:41 在介面上才有acceptor-like/donor-like states對嗎?如果是SC region可能是bulk state或border state? 2. SS region大概多厚呢? 3. 49:45 為什麼所有材料的standard hydrogen electrode幾乎都一樣呢? 謝謝!
1. yes, b/c CNL (no Eg) at the surface 2. SS should be < 1nm, it's a "surface". one layer of atom is about 0.3nm 3. The beauty of nature
了解~謝謝老師🕴️
@@lirunogo 歡迎多問
谁是III/V three energy?
GaAs, AlAs etc.
一直没明白,S G D电极下面,有MOSFET类似的绝缘层吗(载流子沟道之上)?
Planar type: yes, you need HR GaN for reducing leakage, bu not so for vertical devices, you need very good BSM (backside metallization) ua-cam.com/video/8hS0hbBP9Kw/v-deo.html
@王不老說半导 So, the structure is Metal/SiN/AlGaN/GaN(drian and souce are ohm contact) from top to bottom, but for vertical GaN, it is Metal/AlGaN/GaN/Buffer..., isn't?
@@xyzmafour7207 GaN is more complex = GaN Channel + HR GaN...(high resistance)/Buffer/sub., Vertical GaN: see www.mdpi.com/2072-666X/14/10/1937
Please try to deliver the lectures in English
Will try, the info mentioned is a bit outdated. I need to include Notebooklm...
Si / Ge / SiGe 的熱傳導係數 是"heat conductivity" 不是電子的傳導率 你把它混在一起講 這完全不對吧~然後你不太懂量子力學 就不要亂比喻比較好 不是甚麼牆無限高 然後就可以穿透...
文中沒說電子的傳導率,只說的是熱傳導係數,有小口誤,牆高很薄,當然就可以穿透.
講解清晰易懂,給你一個讚❤
謝謝啦!
best review of packing technologies
Thanks, glad that you like it! best wishes!
比較可惜的是沒有講為什麼要使用HfO2 這部份王老用玩笑帶過 有點可惜...所有的製程要求都來自電性的要求 , Cox 增加 (Gate OX 減薄是為了Id 電流增加 因為Vdd 一直下降 假如Vt不變) 這是直流的部分 , 但從Sio2 換成 HfO2 是因為在交流訊號中 存在寄生電容Cgs 跟 Cgd 這兩項必須越小 才能增加頻寬(3db limation) 綜合以上 我們需要一個絕緣性好但內部分子偶極矩很強的材料 很多人會把交流訊號的要求跟直流混在一起 即使我把答案說的這麼清楚 我相信還是很多人看不懂 因為這需要雙修電子學跟半導體製程
高手,感謝解惑,Robert Chau (my dotted boss in Intel) 研究此材料一輩子,選擇HfO2其實乃是試了許多,結果只有此材料比較好,期間甚至想放棄(imec 寫了一堆論文說絕不可能成功),最後發現其defect bands not too bad and can be proteced by SiO2 IL.亦即reliability OK,every other oxides failed
Your pictures and explanation of the structure was good. thanks. i think you have let your personal opinions and bias color the technicals. i wish you had stayed true to explaining the technical differences.
Good inputs, can you be more specific, e.g., which page and topic?
You’re the only one I’ve seen who gets to relate Gucci to MIM. Haha! Good video!
hahaha, you are the one appreciate the weirdness in me. Thanks, i like it! Enjoy them, my friend, hardcore science can be fun as well.
後來回頭看 還是你早期這系列講得比較好 後面長時間的影片很多不知所云 不然只是照本宣科
good to know that you like my previous videos. Enjoy them!
Dear Sir, what's your nick name in English? I have been so much impressed by your lectures! Always thanks. BTW, where do you live? in Taiwan or US?
Glad that you enjoy viewing them. I enjoy making them as well. My goal is to teach engineers in this field from all aspects of knowledge in a fun and entertaining manner. I live in Austin and am teaching remotely as a professor of NTHU_CoSR. I do not have an English nickname, but you can find me in my LinkedIn: www.linkedin.com/in/wei-e-wang-4911533/
感谢!
glad you like them
真的很佩服也感謝這些願意用中文分享的人 ❤
glad that you like them:)=
關注前輩很久了,也看了很多視頻。想請教一下前輩,如果想了解14nm/7nm/5nm這些製程的FEOL/BEOL流程,有哪些資源可以看呢?謝謝前輩。
基本上,網上是找不到的,我個人是想以後會製作相關視評的,但是常被其他看到的新東西分心,我建議你應該先了解統計分析,那才是真正的基本功, 現代工藝最後都必須以統計分析解釋,我做了一系列統計分析,我老王賣瓜,基本可以讓你很快上手的, ua-cam.com/play/PLLqmCVy2iann-kmwLvFN3hzY-nRfUy95i.html
@@王不老說半导 多謝前輩。我一直有在反復看前輩製作的統計基礎視頻。
@@tracygao169 good, did you actually run a statistical SW for practice? BTW, 個人以為,要了解全製程(如果想了解14nm/7nm/5nm這些製程的FEOL/BEOL流程?),題目有些太大,很容易迷失, 建議你必須找到一個突破點,就是一個重要的與你有"切身興趣的主題",你想法子去了解所有相關細節(包含如何DOE),所有歷史及現在進展的"理由與結果",一直專研到,你可以看到一論文,能夠知道其可行性,大概就厲害了,以此演再看此製程之其他延結部分,此招曰之"見縫插針,以點突破",然後再擴面,方可知全貌, 建議多利用AI: Perplexity.ai,他推理不見得對,甚至很多有錯,但是挖掘references,一流也 簡單的說,你必須先是某主題的Content Expert,以此建立一種"信心",再往其他主題,就容易多了!
@@王不老說半导 多謝前輩指點。學生之有用過JMP做一些簡單DOE,用來指引CVD機台的工藝開發。後來看了前輩的DOE視頻以後,加深了一些理論上的理解,也自學了一些統計知識,現在用DOE工具指引工藝開發更有感覺也更加有效率了。我本人也不在fab廠,所以對製程flow之類的知識了解的也比較少啦,就想多學習一下。感覺工藝開發這些東西後面應該都會被AI取代,所以可能需要拓寬自己的知識水平,提升工程能力,才能繼續在這個行業待下去?
@@tracygao169恭喜你走向正確的路! AI太恐怖,我們不是直接被AI打敗,而是被那些善用AI者打敗,所以你要成為善用AI者也!
Informative! Thanks!
glad you like them. I like them as well.
很多時候經驗只能當作參考...太多魔鬼藏在細節 在這一行很多人以為自己很厲害 但我待越久越覺得 自己不過是知道翎毛一角而已...對於一個無法控制自己情緒的人說有多大聰明才智跟智慧 我看也是很有限
在TSMC的製程經驗完全無法複製到其他公司 晶圓製程研發 不同公司之間有製程不相容問題 連這都不知道的話 不要說自己是做研發的
還有 猶太人在歷史上大多是從事放高利貸的吸血鬼 不要美化猶太人
台積跟供應商的關係 很多時候是台積強勢要求供應商配合 根本不是甚麼互相合作 台積唯一不敢得罪的只有ASML...
哈,ASML TD Director is my old friend. I know.
台灣的電子業生態圈是時代造就的 因為台灣本來就是以中小企業為主 跟 韓國以大企業為主完全相反 而 這種以校企業為主的方式特別適合在今日分工細膩的電子產業 不是甚麼台積電創造生態圈
也許,所謂英雄造時勢,時勢也造英雄啊!
我只能說你對TSMC的理解有很多錯誤的地方 首先台灣的電子生態圈不是靠台積電維持 相反的 曾經有一段時間是台積電要求供應商在地生產 類似像現在美國要求台積去設廠一樣 要知道台積電在供應商之間的名聲很差
看來你對台積有些成見,若台積不靠一些生態圈幫忙,全靠自己及國外廠商的幫助,那麼就和三星,英特爾相同(英特爾得到國外廠商的幫助更多),那麼台積也太厲害了一些。
Really nice video with overview of IC package tech. do you mind putting your links shown in the presentation.
The links are in the presentation (bottom of each page). Let me know if you want a specific one.
Williams Paul Walker Anthony Garcia Joseph
Good video to learn IC package technology
Thanks!
Dear Dr. Wang: Very nice learning from you! Is it possible to add one session to describe DRAM difference between regular one and those used in HBM? such as the density, MAT size, TSV real estate rule, etc. Thanks a lot.
I consider myself a process guy, not a design guy. I approach each topic from process perspective with limited introduction of design layout, except those which can impact processes tremendously. HBM uses regular DRAM except they have to stack them together, say 4,8, 12, etc., by a process called MR. MUF (liquid wax with higher thermal conductivity k) of SK hynix or NCF (better control of a plastic film but lower k) of Samsung, or in the future HBI (perfect world, using tool from EVG or Besi). In addition, the bottom die is critical. TSMC will use their 12nm logic for this. Samsung is far behind in this. DRAM is no big deal, these memory maker can make them with high yield. However, stacking them together using W2W is a yield killer. e.g., the new yield is 80% if the two wafer bonded together using W2W with each having 90% yield. What happens if you have 12 wafers to be bonded together. The total yield could drop to 25%. Stacking is costly. Even you solve the DRAM stacking issues, then the challenge is to put them together without warping or particles since you want 100% yield. The power rating for the crazy AI chips are a round a few kW, they can be hot like crazy. The thermal stress induced warpage is a nightmare...
@@王不老說半导 Thanks a lot, Dr. Wang! Sorry for the DRAM design questions! Exactly due to the large amount of TSV embedded, thermal/power control and more issues for DRAM, some special measures have to be taken to make the DRAM appropriate for HBM applications. I am wondering what are those have been adopted and what are those to be coming. It is very interesting, I guess. Again, appreciate your prompt reply.
@@qz9514 DRAM is super sensitive to temperature. It starts to act weird above 85C. It's dead above 90C. They have to refresh regularly (every 64ms). This means bottom die has to do something just to keep them alive. This adds additional heat burden to HBM. Guess you're right DRAM guys need to do something about this by making some special DRAMs as you mentioned earlier. However, this usually mean downgrading the best best DRAM currently we have. Who is going to come out with this new DRAM in time is a question mark, HK hynix or Samsung? Some of my DFM ideas are discussed here for TSV: ua-cam.com/video/C5juSIAPgZU/v-deo.html&lc=Ugy6YjFBqgwuf8ipG4R4AaABAg The newest DRAM are 3D DRAMs, which could mean more DRAM capability with less footprint. How that impacts HBM4 or higher is anybody's guess.
@@王不老說半导 Thanks a lot, Dr. Wang for the continuing sharing. One thing that I know is that s decreased number of WLs per mat, which makes fewer DRAM cells attached to a BL and reduces BL capacitance. The reduced BL capacitance and the amount of voltage developed by the charge sharing between a BL and a cell increases as BL capacitance decreases, thus reducing the sensing time. This suggests the DRAM for HBM could use smaller MAT size for higher reading speed. The other thing is the real estate management around TSV for HBM interconnection. There shall be a certain exclusion zone around tsmc for DRAM cells due to the possible high strain generated from Cu filled TSV. Here are couple things that I can think about. There shall be more to differentiate the regular DRAM and DRAM for HBM. Thanks.
@@qz9514 Thanks for sharing your keen insights especially about TSV. TSV does introduce extra stress issues. But the stress has little impact to DRAM performance since they already leak like crazy. However, I believe the issue has been captured and solved since TSMC has used them on the current AI chiplets using TSV and HBI, except that they need to include many more DRAM stacks. The learning are to be ported for sure.
Thank you so much!!! Just curious is there any source for the SEM images in the manufacturing state, like a Process cam (ua-cam.com/video/5xx9UA9WUT4/v-deo.html) Agin thank you so much
I could not find them. Sorry!
我天,太厉害了,您应该去大学教可靠性工程
多蝦啦! 可以到清大找...或 ua-cam.com/video/YNEHlqkj23Y/v-deo.html
老師對Supercritical fluid treatment eg. SCF Nitridation on GaN HEMT 怎麼看 低溫高穿透性得特性有點像是HPSP那台機台for CMOS
Looks like fancy games people play to get publication. Industry does not like them due to cost and no guarantee that the benefit are still there after all the steps are done.. GaN Dit are so hard to passivate, as explained in the video. I simply won't trust these fancy SC (they tried to get themselves into Si-CMOS process flow and failed)
HPA老師認為會放在FEOL還是BEOL呢?
in mVt (HKMG steps)
王老師您好,目前是電子零件製造業的國外業務,最近在學習PPAP,無意間看到您的影片,使我獲益良多,很快就搞清楚PPK及CPK的差別了,謝謝您!
也替你高興!
有些事情沒有誰抄誰~照你邏輯 那印刷術也是全世界抄中國 不是嗎? Intel 很多東西也是來自學術界的paper , finFET架構 2P2E SADP RELCAS等等方法是大家都知道的 ~所以Metal gate +Al 這也是必然的趨勢 沒有誰抄誰 在更細一點說 一台車子是4個輪子 這個概念有誰抄誰嗎?
加鋁是論槍打鳥的結果,我和發明人之二,Suma Datta and Uday Shah 聊過此事,Intel CR 此發明做的實在不錯,他們本來也沒有想到鋁有效,鋁的熔點太低(660C),任何原子在2/3熔點時就會亂動的,對後來製程將有巨大限制的, 至於印刷術是中國發明的嗎? 此討論有意思,沒有人云亦云,可以參考, ua-cam.com/video/UTB9kOIi5MM/v-deo.html
只是照著念...沒啥意思
看起來IBM最大的失敗 就是把自己當成研究單位了 沒有客戶會因為你用LaO 而覺得你的東西就特別好 而LaO的成本應該非常高
IBM文化本來就不適合HVM,良率沒有高過,然而其原創力與專利,世界第一,確有其厲害的地方, LaO不是成本問題,而是量產時會有其他問題,LaO沒事會自己膨脹的,很麻煩,還有其他..
intel 10nm or TSMC 7nm 都是等效後的線寬 因為你只懂製程 卻不知道電路設計可以補償功率或製程上的缺點
high K first or last 那邊講得很模糊 感覺語意有錯...high K first or last 沒甚麼清不清掉的...單純是metal 先上後切 或是 先挖後填的差異而已 但 gate first 因為metal 先上怕後面高溫製程metal 會亂跑 Vt 無法控制 (建議如果有些內容你不太確定 就不要硬講 聽的人會被誤導或聽得很模糊)
感謝建議,highl 1st or last is indeed a good story...Vt control is one of the key parameters to be controlled. However, my message is about the thought processes (the role of the demon), not too much about the exact technical content.
Thanks for the video!
Thanks!
Thank you for the videos. ❤️
Glad you like them!
AI只是套用人類的想像 並不是AI自己想的....有很多化學反應是在量子世界發生 我們的AI是建立在巨觀世界 無法用來描述量子世界 (建議去看看星際效應這部電影)
AI目前是如此,以後很難說!最近的論文宣稱Cereberas芯片運算能力,已經在微觀原子數大大超越以前能力
Ecnl 就是在interface 處的Ef ...不管在何處Ef永遠相連接 (如同雲霄飛車的軌道沒有斷軌) 差異在於軌道的高低使電子的移動不同表現 對於坐在車內的人 我們看不到軌道的高低 (Ef) 只有站在軌道外的人 才會看到Ef 高低 (假想)
exactly!
個人認為電子的能量傳遞概念跟熱流很像 當初熱力學發展 也是將熱能當作一種物質
一針見血
以無限遠為0位面 算是一個共識吧 類似大家必須有相同語言才能好溝通
妙喻!
對於不同物質相接觸後的費米能階 的理解 我自己是這麼看得 假如電子是物質 那不同物質間的電子要傳遞必須要有相接的軌道 就像雲霄飛車 要從一都滑到另一端 軌道必須相連 但軌道得高低起伏是可以連續改變的 (能階可以改變) 所以不管甚麼物質相接 其最終電子軌道都會相連接(達平衡的費米能階) 但 電子是否能像雲霄飛車一樣 從低點滑過去另一端 看本身的動能 位能(外加電動勢) 來決定 而蕭基contact : 雲霄飛車遇到另一端高點 滑不過去 但 後面越堆越多 台車 越後面的來的車 踩著前面的車翻過去 而歐姆contat : 本來就位在高點 往下滑很正常的 甚至你是著想像自己就是電子 穿梭在軌道中 也可以用來理解直接能隙與非直接能隙的差異 學物理化學 必須要有想像力 是一個必須的技能
100% agreed: 學物理化學 必須要有想像力 是一個必須的技能, 電子 穿梭與chemical potential are linked. chemical potential 的定義,非常有意思的! en.wikipedia.org/wiki/Chemical_potential