\n",
"\n",
"**Namen:** Zvezek (Notebook) je namenjen seznanjanju študentov z uporabo Jupytra pri impedančni spektroskopiji. Gre v bistvu za merjenje impedanc v določenem frekvenčnem spektru (obsebu frekvenc) in nato analizo izmerjenih impedanc. Posebnost je obravnava impedance (ali admitance) v kompleksni ravnini vendar ne v obliki kazalcev pač pa kot krivulje, kjer je parameter frekvenca. Impedančna spektroskopija se uporablja pri zelo različnih raziskavah, od klasičnih elektrotehniških (analize bolj kompleksnih elementov, senzorjev, transformatorjev, ...), do elektrokemijskih (baterije) in celo bioloških (na nivoju celotnega telesa, dela telesa, celice).\n",
"\n",
"**Prej bi lahko predelal tudi:**\n",
"* O obravnavi vezij vzbujanih z izmeničnimi signali s kompleksnim računom\n",
"* O obravnavi resonančnih vezij\n",
"* O frekvenčnih lastnostih realnih elementov"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"
\n",
"Namig: Obstajata dve verziji tega dokumenta. Ena je v obliki html datoteke (končnica html), ki je ni mogoče izvajati, druga pa ima končnico ipny (Jupyter Notebook), ki jo lahko izvajamo z Jupyter aplikacijo. To aplikacijo imate lahko naloženo na vašem računalniku in se izvaja v brskalniku, lahko jo ogledujete s spletno aplikacijo nbViewer, s spletnimi aplikacijami Binder ali Google Colab pa jo lahko tudi zaganjate in spreminjate. Več o tem si preberite v \n",
"tem članku.\n",
" \n",
"Za izvajanje tega zvezka ne potrebujete posebnega znanja programiranja v Pythonu, lahko pa poljubno spreminjate kodo in se sproti učite tudi uporabe programskega jezika. Več podobnih primerov je na Githubu na https://github.com/osnove/Dodatno/\n",
"
"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Impedančna spektroskopija v praksi\n",
"\n",
"Obravnava impedančne spektroskopije morda nekoliko presega običajni obseg snovi pri predmetu Osnove elektrotehnike. Kljub temu pa je zanimivo pogledati eno od mnogih možnih uporab koncepta impedance. Običajno se impedančno spektroskopijo uporablja kot obrnjen postopek. Pomeni, da samega vezja ne poznamo (black box), smo pa izmerili impedanco v določenem frekvenčnem območju in nas zanima oblika nadomestnega vezja, ki bi najbolj ustrezala izmerjeni impedanci. Ni sicer nujno, da poiščemo model nadomestnega vezja, saj nas lahko v določenih primerih zanima le odziv vezja na na določene spremembe. Impedančno spektroskopijo seveda izvajamo tudi na električnih vezjih in strukturah vendar bom v tem zvezku prikazal morda manj znano uporabo impedančne spektroskopije v kemiji in biologiji.\n",
"\n",
"\n",
"Poglejmo si nekaj konkretnih primerov, ki jih bomo povzeli po par strokovnih člankih.\n",
" \n",
"1. Članek Marco Grossi and Bruno Riccò: \"Electrical impedance spectroscopy (EIS) for biological analysis and food characterization: a review\", J. Sens. Sens. Syst., 6, 303–325, 2017. https://www.j-sens-sens-syst.net/6/303/2017/jsss-6-303-2017.pdf \n",
"\n",
"Avtorja v članku opisujeta vrsto možnih uporab impedančne spektroskopije. Spodnja slika kaže primer bioimpedančnega senzorja prisotnosti bakterije E-Coli ali Salmonele, ki se jo želi zaznavati že v zelo majhnih koncentracijah. To omogoča priprava merilne elektrode, ki je prevlečena z bioreceptorjem, ki omogoča, da se nanj vežejo omenjene bakterije, s čimer se spremeni električna upornost. Na sliki je tudi modelno vezje, kjer je Rs upornost elektrolita, Cdl kapacitivnost med elektrodo in elektrolitom (t.i. dvojna plast - double layer), Rct upornost pri prenosu naboja (charge transfer resistance) in ZW t.i. Warburgova impedanca, kot posledica difuzijskih procesov. \n",
" \n",
"Warburgova impedanca pogosto nastopa pri analizi elektrokemijkih procesov z impedanco, saj se izkaže, da se difuzijski proces ne more analizirati s preprostimi R, L, C elementi pač pa je potreben element, ki ohranja fazni kot pri spremembah frekvence. Bolj splošno te elemente imenujemo CPE (constant phase element). Warburgovo impedanco zapišemo kot $\\underline{Z}_W = \\frac{A_W}{\\sqrt\\omega}(1-j)$. Vidimo, da Warburgova impedanca ohranja s frekvenco fazni kot $45^o$. \n",
"Iz slike razberemo tudi značilno obliko prikaza spreminjanja impedance s frkvenco v kompeksni ravnini. Podobne oblike bomo obravnavali v nadaljevanju. Taki obliki grafa pogosto rečemo tudi Nyquistov graf.\n",
"\n",
"\n",
" \n",
" \n",
"\n",
"Slika na desni prikazuje tipično uporabo impedance pri analiziranju sestave človeškega telesa. Pri tem se uporabi štiri-elektrodno meritev, kar pomeni, da se dve elektrodi uporabi kot vzbujalni, na drugih dveh pa se meri napetost. Te metode običajno imenujemo bioimpedančne meritve. \n",
"Prednost štirielektrodne konfiguracije je, da se izognemo zaznavanju impedance na stiku elektroda/elektrolit (elektroda/koža), ki je lahko zelo kompleksen za obravnavo in zaradi velike kapacitivnosti stika tudi omeji zaznavanje sprememb pri nizkih frekvencah. Tipično se iz meritev uporabi za določanje vsebnosti vode in množine maščobe ali mišične mase. \n",
"\n",
"\n",
" \n",
" \n",
"\n",
"Spodnja slika kaže električni model biološke celice. R1 predstavlja upornost celične stene, R2 je upornost citoplazme, R3 je upornost vakuole (organeli), C1 kapacitivnost celične membrane (plazmaleme), C2 kapacitivnost tonoplasti (notranje membrane). S spremljanjem impedance celice lahko zaznavamo spremembe, ki se na njej dogajajo. Na primer spremljamo zorenje sadja, staranje ali odmiranje celic, vpliv zdravil na celice, vpliv elektroporacije - spreminjanje začasne propustnosti celic s kratkimi električnimi pulzi) in podobno.\n",
"\n",
"\n",
"\n",
"\n",
"
\n",
"2. Članek: Karkera, Guruprakash & Prakash, Annigere. (2018). An Inorganic Electrolyte Li-O2 Battery with High Rate and Improved Performance. ACS Applied Energy Materials. 1. 10.1021/acsaem.8b00095. \n",
"\n",
"Avtorji v članku obravnavajo elektrolitsko litij-zrak baterijo. Med drugim za analizo delovanja uporabijo impedančno spektroskopijo in ugotovijo, da lahko iz prvega dela spektra (a, modra) razpoznajo upornost povezovalnih kablov, (b, zelena, polkrog) impedanco na anodni strani Z1, (c - viola in rjava, večji poklrog) predstavlja prispevek katode. Skupna nadomestna impedanca je tako serijska vezava impedance kablov ter dveh uporov vzporedno z t.i. CPE elementom ( o tem kasneje) ter na koncu še zaporedne vezave kondenzatorja in upora: \n",
" \n",
"\n",
" The electrochemical impedance spectroscopy (EIS) measurements revealed the role of molten nitrate electrolytes in a Li−O2cell. The typical impedance spectra depicted in Figure 5 indicate the following contributions: (a) resistance from electrolyte and connectivity cables (Ze, blue shaded), (b) small semi circle indicating the anodic contribution (Z1, green), resulting from the Li−electrolyte interphase at higher frequencies, which also comprises a surface SEI layer on the Li metal, (c) a bigger semicircle (Z2, pink) and inclined line Z3(brown) comprising the cathodic contributions, i.e., kinetic and mass transfer reactions.The impedance data have been analyzed using the equivalent circuit Re(Q1R1)(Q2R2)(CR3) given in Figure 5a,where R implies the resistance contributions of different components of battery, C is the capacitance contributions, and Q is the constant phase element (CPE). \n",
" \n",
"\n",
"3. Članek: Eker B, Meissner R, Bertsch A, Mehta K, Renaud P (2013) Label-Free Recognition of Drug Resistance via Impedimetric Screening of Breast Cancer Cells. PLOS ONE 8(3): e57423. https://doi.org/10.1371/journal.pone.0057423 \n",
"\n",
"Avtorji analizirajo možnost uporabe impedančne metode za analizo vpliva zdravil (drug resistance) na rakave celice. \n",
" \n",
" \n",
"\n",
"Gre za uporabo impedančne spektroskopije na bioloških sistemih, zato se je s časom oblikovalo posebno raziskovalno področje bioimpedančne spektroskopije. Posebnosti je več, morda najbolj zanimiva je ta, da se je izkazalo, da s klasičnimi električnimi elementi (upor, kondenzator, tuljava) ni mogoče dobro opisati izmerjene impedance na bioloških sistemih. Zato so se oblikovali novi modeli, ki so predvsem matematični in nimajo prave fizikalne razlage. Najbolj pogosta je uporaba t.i. člena s konstantno fazo ali CPE, ki ga delno že poznamo iz elektrokemije kot Warburgov element. Impedanca CPE je $\\underline Z_{CPE}=\\frac{1}{(j \\omega C)^\\alpha}$, kjer je $\\alpha$ koeficient med 0 in 1. Če je $\\alpha = 1$ imamo enačbo kondenzatorja, sicer pa nek element"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"***\n",
"## Vzporedna vezava upora in kondenzatorja\n",
"\n",
"Obravnavajmo najprej primer vzporedne vezave upora in kondenzatorja. Poglejmo, kakšno obliko ima impedanca ali admitanca v kompleksni ravnini in frekvenčnem prostoru.\n",
"\n",
"Izhajamo iz admitance $\\underline{Y}(u)=G+j \\omega C$. Impedanca je seveda $\\underline{Y}=\\frac{1}{\\underline{Z}}$.\n",
"Izrišimo tako impedanco kot admitanco v kompleksni ravnini."
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"code_folding": []
},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"