Weird Science

Metallic Plants – The Beauty of Crystalline Silver Dendrites

Polish ver­sion is here

The fol­lo­wing article was ori­gi­nally publi­shed in the jour­nal for edu­ca­tors Che­mia w Szkole (eng. Che­mi­stry in School) (3/2015):

Ilustracja

Ples M., Meta­liczne rośliny. Kry­sta­liczne den­dryty sre­bra (eng. Metal­lic Plants – The Beauty of Cry­stal­line Silver Den­dri­tes), Che­mia w Szkole (eng. Che­mi­stry in School), 3 (2015), Agen­cja AS Józef Szew­czyk, pp. 6-10

Silver Den­dri­tes

Metals have played a pivo­tal role in the deve­lop­ment of human civi­li­za­tion, as reflec­ted in the divi­sion of pre­hi­story into distinct eras. The Stone Age, which was both the ear­liest and the lon­gest-lasting period, relied on tools made from various types of stone. Each sub­se­qu­ent age was defi­ned by the mastery of methods for obta­i­ning and uti­li­zing dif­fe­rent metals: the Cop­per, Bronze, and Iron Ages. Of course, metals weren’t used solely for prac­ti­cal tools and equ­ip­ment. Pre­cious metals like gold and silver, valued for their spe­cial pro­per­ties, beauty, and rarity, were also used to make orna­ments and even served as cur­rency.

A glance at the perio­dic table con­firms that metals make up the vast majo­rity of known ele­ments. But what exac­tly defi­nes a metal? Among other types of sub­stan­ces, metals are distin­gu­i­shed by the pre­sence of free elec­trons within their cry­stal lat­tice. These mobile charge car­riers are respon­si­ble for metals’ excel­lent elec­tri­cal con­duc­ti­vity. Solid metals also typi­cally exhi­bit luster, duc­ti­lity, mal­le­a­bi­lity, and good ther­mal con­duc­ti­vity. From a che­mist’s point of view, it’s also worth noting that metals tend to form com­po­unds with more basic and nuc­le­o­phi­lic pro­per­ties, rather than aci­dic or elec­tro­phi­lic ones.

Among all metals, a spe­cial class known as noble metals stands out. This is a conven­tio­nal term for che­mi­cally unre­ac­tive metals, inc­lu­ding the pla­ti­num group (ruthe­nium, rho­dium, pal­la­dium, osmium, iri­dium, and pla­ti­num) and two coi­nage metals: silver and gold. Some defi­ni­tions also inc­lude rhe­nium and mer­cury. Due to its sli­gh­tly higher reac­ti­vity, cop­per is some­ti­mes refer­red to as a semi-noble metal.

In their solid state, metals exist in a cry­stal­line form. Metal cry­stals can deve­lop into a wide variety of sha­pes. One par­ti­cu­larly inte­re­sting exam­ple is the den­drite, a bran­ching struc­ture com­po­sed of tiny inter­con­nec­ted cry­stals that typi­cally resem­ble plant sho­ots.

Ilustracja
Ani­ma­tion: sup­ple­men­tary mate­rial

The for­ma­tion of den­dri­tes requ­i­res spe­ci­fic con­di­tions. These struc­tu­res are not only visu­ally stri­king but also scien­ti­fi­cally valu­a­ble, as stu­dy­ing them offers insi­ghts into the pro­ces­ses that shape many aspects of the natu­ral world. For these very rea­sons, we’re going to grow some silver den­dri­tes!

The Expe­ri­ment

Cry­stal­line silver in the form of den­dri­tes can be obta­i­ned in two simi­lar, yet sli­gh­tly dif­fe­rent, ways. Each method yields a distinct result, so I enco­u­rage rea­ders to try both ver­sions.

In both expe­ri­ments, we will use silver(I) nitrate, AgNO3, as the silver ion source. This com­po­und is still some­ti­mes cal­led "lapis", as alche­mi­sts once refer­red to it as lapis infer­na­lis, which is Latin for "infer­nal stone". Why such a dra­ma­tic name for a sub­stance that appe­ars as sim­ple white cry­stals (Photo 1)? One rea­son is that when AgNO3 comes into con­tact with the skin and is expo­sed to light, it forms metal­lic silver, lea­ving behind dark sta­ins that are very dif­fi­cult to remove. These marks only fade after seve­ral days as the skin’s outer layer natu­rally exfo­lia­tes. Let this serve as a war­ning: always wear pro­per per­so­nal pro­tec­tive equ­ip­ment when wor­king! A lab coat, glo­ves, and safety gog­gles are essen­tial.

Photo 1 – Silver(I) nitrate cry­stals

Now, let's learn how to per­form the pro­po­sed expe­ri­ments.

Ver­sion I

To con­duct this ver­sion of the expe­ri­ment, pre­pare an aqu­e­ous silver(I) nitrate solu­tion with a con­cen­tra­tion of a few per­cent. It’s cru­cial to use distil­led or demi­ne­ra­li­zed water, as tap water typi­cally con­ta­ins impu­ri­ties that react with silver ions, cau­sing noti­ce­a­ble clo­u­di­ness. I used a solu­tion with a con­cen­tra­tion of about 3%. Dif­fe­rent con­cen­tra­tions can yield varied results, so I enco­u­rage you to expe­ri­ment.

The second essen­tial com­po­nent is cop­per wire, pre­fe­ra­bly with a dia­me­ter between 0.2 and 0.5 mm (appro­xi­ma­tely 0.008 to 0.02 inches). It must be unin­su­la­ted, and any sur­face oxi­des or con­ta­mi­nants sho­uld be remo­ved by san­ding with fine-grit sand­pa­per and rin­sing with ace­tone.

Then place a piece of cop­per wire, a few cen­ti­me­ters (about an inch) long, in a Petri dish posi­tio­ned on a dark sur­face, and cover it with a few drops of silver nitrate solu­tion. For best results, obse­rve the reac­tion under a magni­fy­ing glass. Within moments, you’ll notice a shiny, moss-like growth on the sur­face of the wire (Photo 2A). But don’t stop wat­ching yet! The growth con­ti­nues, even­tu­ally for­ming beau­ti­ful, bran­ched metal­lic silver struc­tu­res (Photo 2B).

Photo 2 – Silver den­drite for­ma­tion: A – early growth; B – fully deve­lo­ped den­dri­tes

The growth of these struc­tu­res is rapid, and the for­ma­tion and elon­ga­tion of new bran­ches can be obse­rved with the naked eye, as shown in the sequ­ence of ima­ges in Photo 3.

Photo 3 – Silver den­drite for­ma­tion over time, timed from cop­per wire immer­sion in silver ion solu­tion

A clo­ser look at the resul­ting den­dri­tes reve­als their deli­cate, tree-like struc­ture, as shown in the micro­scopy ima­ges (Photo 4).

Photo 4 – Close-up view of den­dri­tes

This expe­ri­ment can be repe­a­ted mul­ti­ple times by remo­ving the redu­ced silver with a piece of fil­ter paper and repla­cing the silver salt solu­tion.

Do not pour any lefto­ver AgNO3 solu­tion down the drain, as even trace amo­unts of silver salts can kill the micro­or­ga­ni­sms used in waste­wa­ter tre­at­ment plants. For­tu­na­tely, safe dispo­sal is sim­ple: the silver can be redu­ced by adding a few pie­ces of zinc sheet or gra­nu­les to the solu­tion. An astute rea­der might ask:

— Why use zinc instead of cop­per?

Of course, cop­per would work as well. Howe­ver, reduc­tion with zinc hap­pens much faster. In this case, tho­ugh, you won’t get those beau­ti­ful silver struc­tu­res; instead, you will obtain only an unre­mar­ka­ble dark pre­ci­pi­tate of finely disper­sed silver that can be fil­te­red out and used for other pur­po­ses.

Ver­sion II

In the second ver­sion of the expe­ri­ment, the pre­pa­ra­tion of the silver salt solu­tion requ­i­res not only silver(I) nitrate AgNO3 but also aqu­e­ous ammo­nia NH3(aq) at a con­cen­tra­tion of appro­xi­ma­tely 25% [1].

Ammo­nia gas rele­a­sed from the solu­tion is irri­ta­ting to the respi­ra­tory sys­tem and toxic at higher con­cen­tra­tions! All expe­ri­ments invo­lving this sub­stance must be car­ried out under a func­tio­ning fume hood or out­do­ors.

Pre­pa­ring the solu­tion is sli­gh­tly more com­plex [2]. First, pre­pare 50 cm3 (1.69 fl oz) of a 3% AgNO3 solu­tion. Then, while stir­ring con­ti­nu­o­u­sly, add the aqu­e­ous ammo­nia drop by drop. Ini­tially, a brown pre­ci­pi­tate of silver(I) oxide Ag2O forms, accor­ding to the fol­lo­wing reac­tion:

2AgNO3 + 2NH3 + H2O → Ag2O↓ + 2NH4NO3

At a cer­tain point, after adding one more drop of aqu­e­ous ammo­nia, the brown pre­ci­pi­tate will dis­so­lve, and the solu­tion will turn clear. This hap­pens because silver(I) oxide Ag2O reacts with excess ammo­nia to form a solu­ble com­plex known as diam­mi­ne­si­lver(I), [Ag(NH3)2]+, accor­ding to:

Ag2O + 4NH3 + H2O → 2[Ag(NH3)2]+ + 2OH-

War­ning: This solu­tion sho­uld never be pre­pa­red in advance or sto­red for future use. Over time, it may give rise to what is known as ful­mi­na­ting silver, a sub­stance with a poorly under­stood com­po­si­tion, likely silver nitride Ag3N or silver imide Ag2NH, both of which are highly explo­sive. Any lefto­ver solu­tion sho­uld be safely dispo­sed of as soon as pos­si­ble, fol­lo­wing the method descri­bed later.

For this ver­sion of the expe­ri­ment, you will also need a DC power source that pro­vi­des a few volts, appro­priate con­nec­ting wires, and a piece of wire appro­xi­ma­tely 1 mm (0.04 in) in dia­me­ter. Steel is the pre­fer­red mate­rial. A stra­i­gh­te­ned paperc­lip can be used effec­ti­vely for this pur­pose.

Assem­bling the setup is fairly stra­i­ght­for­ward. Pour a shal­low layer of the pre­pa­red diam­mi­ne­si­lver(I) solu­tion, just a few cen­ti­me­ters deep (aro­und an inch), into a flat dish such as a Petri dish. Place the anode, made of steel wire, fully sub­mer­ged near the edge of the dish. Posi­tion the cathode at the cen­ter, making sure it tou­ches only the boun­dary between the liquid and the air. If the cathode is sub­mer­ged too dee­ply, den­dri­tic growth may not occur as expec­ted. The com­plete setup is shown in Photo 5A.

Photo 5 – Elec­tro­ly­tic method for gro­wing silver den­dri­tes; A – expe­ri­men­tal setup, B – resul­ting den­dri­tes

As soon as the elec­tro­des are con­nec­ted to the power source, silvery, bran­ched struc­tu­res begin to form at the phase boun­dary aro­und the cathode (Photo 5B). These den­dri­tes are signi­fi­can­tly lar­ger than those pro­du­ced using the pre­vious method, making magni­fi­ca­tion unne­ces­sary. Their growth is cle­arly visi­ble to the naked eye and typi­cally com­ple­tes within a few dozen seconds. The intri­cate, tree-like for­ma­tions can be quite stri­king, espe­cially when vie­wed in close detail (Photo 6).

Photo 6 – Close-up view of the struc­ture

After the expe­ri­ment, the lefto­ver solu­tion sho­uld be neu­tra­li­zed by care­fully aci­di­fy­ing it with aqu­e­ous hydro­ch­lo­ric acid HClaq. Any rema­i­ning silver can then be redu­ced by adding zinc, just as descri­bed ear­lier. And once again, an cru­cial remin­der: this solu­tion must never be sto­red!

Expla­na­tion

As is often the case, the under­ly­ing prin­ci­ples behind the obse­rved phe­no­mena are quite sim­ple. In both ver­sions of the expe­ri­ment, silver ions are redu­ced to metal­lic silver.

In the first case, silver is displa­ced from the solu­tion thro­ugh a reac­tion with metal­lic cop­per. As we know, more che­mi­cally active metals, those with lower stan­dard elec­trode poten­tials (E0), can displace less active ones with higher poten­tials from their com­po­unds. The stan­dard poten­tial for silver (mea­su­red rela­tive to the hydro­gen elec­trode) is 0.80 V, while for cop­per it is 0.34 V [3]. The reac­tion can the­re­fore be writ­ten as:

2Ag+ + Cu → 2Ag↓ + Cu2+

Cop­per dis­so­lves by for­ming diva­lent cations, while silver is redu­ced to its ele­men­tal form.

In the second case, the pro­cess is elec­tro­ly­tic: silver cations are redu­ced by elec­trons sup­plied by the cathode:

Ag+ + e- → Ag↓

Altho­ugh the silver cation is pre­sen­ted here in its sim­ple form as Ag+, it's impor­tant to remem­ber that the actual reac­tion invo­lves the com­plex ion [Ag(NH3)2]+.

While this expla­ins how metal­lic silver is for­med during the expe­ri­ment, it does not acco­unt for the mecha­nism behind the deve­lop­ment of the cha­rac­te­ri­stic den­dri­tic struc­tu­res.

Because metal­lic silver con­ducts elec­tri­city very well, elec­trons, whe­ther rele­a­sed by cop­per atoms in the first ver­sion of the expe­ri­ment or pro­vi­ded by the cathode in the second, can flow thro­ugh the silver that has alre­ady been depo­si­ted. This allows fur­ther reduc­tion of silver ions at those same sites. Small ini­tial irre­gu­la­ri­ties in depo­si­tion cau­sed by impu­ri­ties, une­ven mixing, tem­pe­ra­ture gra­dients, dif­fu­sion, Brow­nian motion, or other fac­tors tend to become ampli­fied, lea­ding to a struc­ture that appe­ars ran­dom. Under­stan­ding this pro­cess in detail requ­i­res dee­per ana­ly­sis.

Why do the ter­mi­nal bran­ches of the metal­lic aggre­ga­tes grow signi­fi­can­tly faster than others? This can be expla­i­ned by the ten­dency of elec­tric charge to accu­mu­late in regions of a sur­face with the gre­a­test curva­ture. As a result, the charge den­sity is highest at the distal parts of the struc­ture, cau­sing silver ion reduc­tion to occur more rapi­dly there and lea­ding these bran­ches to elon­gate faster. This is a clas­sic exam­ple of posi­tive feed­back. This effect is espe­cially evi­dent in the second ver­sion of the expe­ri­ment, where the lon­gest and most ela­bo­rate bran­ches con­si­sten­tly grow toward the anode due to elec­tro­sta­tic inte­rac­tions. As we know, oppo­site char­ges attract.

Howe­ver, this expla­na­tion is still incom­plete. Based on these assump­tions, one would expect the for­ma­tion of long, stra­i­ght nee­dle-like struc­tu­res. Yet during the expe­ri­ment, we obse­rved nume­rous bran­ches. This can be expla­i­ned by the phe­no­me­non of dif­fu­sion-limi­ted aggre­ga­tion (DLA) [4]. For sim­pli­city, con­si­der a two-dimen­sio­nal exam­ple, altho­ugh the model can be easily exten­ded to three-dimen­sio­nal space.

Con­si­der a sta­tio­nary object cal­led a seed pla­ced on the sur­face being stu­died (Fig. 1A). Par­tic­les move ran­domly across the sur­face and can become immo­bi­li­zed either on the seed’s sur­face or on other par­tic­les that have alre­ady been immo­bi­li­zed. This pro­cess results in the for­ma­tion of an ini­tial struc­ture with a ran­dom arran­ge­ment (Fig. 1B).

Ilustracja
Fig. 1 – A, B, C, D – Sta­ges of dif­fu­sion-limi­ted aggre­ga­tion simu­la­tion, with the aste­risk mar­king the seed

Logi­cally, new par­tic­les are more likely to attach not near the cen­ter, but along the ran­domly for­ming bran­ches because of their gre­a­ter spa­tial reach. As a result, the struc­ture grows into an incre­a­sin­gly bran­ched, tree-like form (Fig. 1C, D). It’s remar­ka­ble that such sim­ple con­di­tions lead to struc­tu­res with stri­king geo­me­tric beauty (Fig. 2). The resem­blance to the expe­ri­men­tally obse­rved silver den­dri­tes (Pho­tos 4 and 6) is truly stri­king.

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Fig. 2 – The result of a dif­fu­sion-limi­ted aggre­ga­tion simu­la­tion; a later stage than in Fig. 1D

This model can be easily applied to the expe­ri­ments descri­bed: mobile silver ions in the solu­tion are redu­ced on the metal sur­face, for­ming inso­lu­ble and thus immo­bi­li­zed silver atoms. It’s also worth noting that the dif­fu­sion-limi­ted aggre­ga­tion pro­cess is fur­ther enhan­ced by the une­ven distri­bu­tion of elec­tric charge men­tio­ned ear­lier.

These pro­ces­ses are not just a labo­ra­tory curio­sity; they also occur in nature. One exam­ple is the den­dri­tes of pyro­lu­site, a com­mon mine­ral that is a cry­stal­line form of man­ga­nese(IV) oxide (MnO2, Photo 7). Pyro­lu­site aggre­ga­tes are often mista­ken for plant fos­sils, but they are enti­rely abio­tic in ori­gin.

Photo 7 – Pyro­lu­site den­dri­tes on lime­stone, from the author’s own col­lec­tion

Simi­lar struc­tu­res can also be found in plants. The resem­blance of a branch of nor­thern white-cedar, Thuja occi­den­ta­lis, to arti­fi­cially grown den­dri­tes (such as silver) or natu­ral ones (like pyro­lu­site) is no coin­ci­dence. There is strong evi­dence that the mole­cu­lar pro­ces­ses sha­ping plant organs are simi­lar, tho­ugh likely more com­plex.

Photo 8 – Mor­pho­lo­gi­cal detail of a  Thuja occi­den­ta­lis shoot

Den­dri­tic struc­tu­res are not limi­ted to plants; they also appear in ani­mals. For exam­ple, nerve cells have highly bran­ched pro­jec­tions known as den­dri­tes.

The forms we’ve discus­sed also evoke frac­tals, which are objects defi­ned by self-simi­la­rity [5]. This means that parts of the struc­ture resem­ble the whole. Due to their vast diver­sity, these forms defy strict defi­ni­tions. Inte­re­stin­gly, despite often exhi­bi­ting incre­di­ble struc­tu­ral com­ple­xity, they can usu­ally be descri­bed by rela­ti­vely sim­ple recur­sive rules [6].

It’s fasci­na­ting how, star­ting from stra­i­ght­for­ward expe­ri­ments, we arrive at dee­per, more fun­da­men­tal insi­ghts. This shows that you don’t need mil­lion-dol­lar equ­ip­ment (tho­ugh it can help) to begin unco­ve­ring the laws and prin­ci­ples that shape our world. To me, that’s the true beauty of science!

Refe­ren­ces:

All pho­to­gra­phs and illu­stra­tions were cre­a­ted by the author.

This text has under­gone sli­ght edi­to­rial modi­fi­ca­tions com­pa­red to the ver­sion publi­shed in the jour­nal to bet­ter suit online pre­sen­ta­tion.

Adden­dum

Wit­nes­sing the growth of silver den­dri­tes up close is a truly cap­ti­va­ting expe­rience. The video below cle­arly demon­stra­tes how the pro­cess unfolds.

Marek Ples

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