It is shown how to reconstruct the stacking sequence from the pairwise correlation functions between layers in close-packed structures. First, of theoretical interest, the analytical formulation and solution of the problem are presented when the exact pairwise correlation counts are known. In the second part, the practical problem is approached. A simulated annealing procedure is developed to solve the problem using as initial guess approximate solutions from previous treatments. The robustness of the procedure is tested with synthetic data, followed by an experimental example. The developed approach performs robustly over different synthetic and experimental data, comparing favorably with the reported methods.

In a Model block, if the instance-specific value of a model argument has an anonymous structure type, an update diagram reports an error when there are multiple bus types that match that anonymous structure type.This bug exists in the following release(s):
R2020a

This bug has a workaround

Interested in Upgrading?

Attempting to display the contents of an HDF5 file containing fixed-length UTF-8 encoded strings results in an unexpected error in MATLAB.

For example, the following code

  h5disp('myHDF5FileWithFixedLenUTF8Strings.h5')

returns this error:

Error using h5infoc
UTF-8 encoding is only supported for variable length strings.

Error in h5info (line 108)
hinfo = h5infoc(filename,location, useUtf8);

Error in h5disp>display_hdf5 (line 121)
hinfo = h5info(options.Filename,options.Location);

Error in h5disp (line 99)
display_hdf5(options);

Simulink might produce an incorrect sorted order for a model that meets all of the following conditions:

• The model contains blocks from the SoC Blockset
• The Signal logging option is selected in the model configuration set
• Signals using asynchronous sample time are configured for logging

If you try to open a text file with UTF-16 or UTF-32 encoding, the Import Tool displays a warning message stating that the encoding is not supported.  If you continue to load the file anyways, it is opened with UTF-8 encoding, and the file may not be displayed or imported as expected.This bug exists in the following release(s):
R2020a

This bug has a workaround

Interested in Upgrading?

When the Signal Editor is saving data, the indicator that the save is occurring does not appear.  You might notice a delay when saving large data files.This bug exists in the following release(s):
R2020a

Interested in Upgrading?

The crystal structure of vanthoffite {hexasodium magnesium tetrakis[sulfate(VI)]}, Na6Mg(SO4)4, was solved in the year 1964 on a synthetic sample [Fischer & Hellner (1964). Acta Cryst. 17, 1613]. Here we report a redetermination of its crystal structure on a mineral sample with improved precision. It was refined in the space group P21/c from a crystal originating from Surtsey, Iceland. The unique Mg (site symmetry overline{1}) and the two S atoms are in usual, only slightly distorted octahedral and tetrahedral coordinations, respectively. The three independent Na atoms are in a distorted octahedral coordination (1×) and distorted 7-coordinations intermediate between a `split octahedron' and a pentagonal bipyramid (2×). [MgO6] coordination polyhedra interchange with one half of the sulfate tetrahedra in <011> chains forming a (100) meshed layer, with dimers formed by edge-sharing [NaO7] polyhedra filling the interchain spaces. The other [NaO7] polyhedra are organized in a parallel layer formed by [010] and [001] chains united through edge sharing and bonds to the remaining half of sulfate groups and to [NaO6] octahedra. The two types of layers interconnect through tight bonding, which explains the lack of morphological characteristics typical of layered structures.

The crystal structures of caesium di­hydrogen arsenate(V) bis­[tri­hydrogen arsen­ate(V)], Cs(H2AsO4)(H3AsO4)2, ammonium di­hydrogen arsenate(V) tri­hydrogen arsenate(V), NH4(H2AsO4)(H3AsO4), and dilithium bis­(di­hydrogen phosphate), Li2(H2PO4)2, were solved from single-crystal X-ray diffraction data. NH4(H2AsO4)(H3AsO4), which was hydro­thermally synthesized (T = 493 K), is homeotypic with Rb(H2AsO4)(H3AsO4), while Cs(H2AsO4)(H3AsO4)2 crystallizes in a novel structure type and Li2(H2PO4)2 represents a new polymorph of this composition. The Cs and Li compounds grew at room temperature from highly acidic aqueous solutions. Li2(H2PO4)2 forms a three-dimensional (3D) framework of PO4 tetra­hedra sharing corners with Li2O6 dimers built of edge-sharing LiO4 groups, which is reinforced by hydrogen bonds. The two arsenate compounds are characterized by a 3D network of AsO4 groups that are connected solely via multiple strong hydrogen bonds. A statistical evaluation of the As—O bond lengths in singly, doubly and triply protonated AsO4 groups gave average values of 1.70 (2) Å for 199 As—OH bonds, 1.728 (19) Å for As—OH bonds in HAsO4 groups, 1.714 (12) Å for As—OH bonds in H2AsO4 groups and 1.694 (16) Å for As—OH bonds in H3AsO4 groups, and a grand mean value of 1.667 (18) Å for As—O bonds to nonprotonated O atoms.

The title com­pound, tetra­ethyl­ammonium tetra­thio­rhenate, [(C2H5)4N][ReS4], has, at room temperature, a disordered structure in the space group P63mc (Z = 2, α-phase). A phase transition to the monoclinic space group P21 (Z = 2, γ-phase) at 285 K leads to a pseudo-merohedral twin. The high deviation from the hexa­gonal metric causes split reflections. However, the different orientations could not be separated, but were integrated using a large integration box. Rapid cooling to 110–170 K produces a metastable β-phase (P63, Z = 18) in addition to the γ-phase. All crystals of the β-phase are contaminated with the γ-phase. Additionally, the crystals of the β-phase are merohedrally twinned. In contrast to the α-phase, the β- and γ-phases do not show disorder.

An efficient synthesis of 1-aryl­isochromeno[3,4-d][1,2,3]triazol-5(1H)-ones, involving the diazo­tization of 3-amino-4-aryl­amino-1H-isochromen-1-ones in weakly acidic solution, has been developed and the spectroscopic characterization and crystal structures of four examples are reported. The mol­ecules of 1-phenyl­isochromeno[3,4-d][1,2,3]triazol-5(1H)-one, C15H9N3O2, (I), are linked into sheets by a combination of C—H⋯N and C—H⋯O hydrogen bonds, while the structures of 1-(2-methyl­phen­yl)isochromeno[3,4-d][1,2,3]triazol-5(1H)-one, C16H11N3O2, (II), and 1-(3-chloro­phen­yl)isochromeno[3,4-d][1,2,3]triazol-5(1H)-one, C15H8ClN3O2, (III), each contain just one hydrogen bond which links the mol­ecules into simple chains, which are further linked into sheets by π-stacking inter­actions in (II) but not in (III). In the structure of 1-(4-chloro­phen­yl)isochromeno[3,4-d][1,2,3]triazol-5(1H)-one, (IV), isomeric with (III), a combination of C—H⋯O and C—H⋯π(arene) hydrogen bonds links the mol­ecules into sheets. When com­pound (II) was exposed to a strong acid in methanol, qu­anti­tative conversion occurred to give the ring-opened transesterification product methyl 2-[4-hy­droxy-1-(2-methyl­phen­yl)-1H-1,2,3-triazol-5-yl]benzoate, C17H15N3O3, (V), where the mol­ecules are linked by paired O—H⋯O hydrogen bonds to form centrosymmetric dimers.

An operationally simple and time-efficient approach has been developed for the synthesis of racemic N-substituted 3-(2-aryl-2-oxoeth­yl)-3-hy­droxy­indolin-2-ones by a piperidine-catalysed aldol reaction between aryl methyl ketones and N-alkyl­isatins. These aldol products were used successfully as strategic inter­mediates for the preparation of N-substituted (E)-3-(2-hetaryl-2-oxo­ethyl­idene)indolin-2-ones by a stereoselective dehydration reaction under acidic conditions. The products have all been fully characterized by 1H and 13C NMR spectroscopy, by mass spectrometry and, for a representative selection, by crystal structure analysis. In each of (RS)-1-benzyl-3-hy­droxy-3-[2-(4-meth­oxy­phen­yl)-2-oxoeth­yl]indolin-2-one, C24H21NO4, (Ic), and (RS)-1-benzyl-3-{2-[4-(di­methyl­amino)­phen­yl]-2-oxoeth­yl}-3-hy­droxy­indolin-2-one, C25H24N2O3, (Id), inversion-related pairs of mol­ecules are linked by O—H⋯O hydrogen bonds to form R22(10) rings, which are further linked into chains of rings by a combination of C—H⋯O and C—H⋯π(arene) hydrogen bonds in (Ic) and by C—H⋯π(arene) hydrogen bonds in (Id). The mol­ecules of (RS)-1-benzyl-3-hy­droxy-3-[2-oxo-2-(pyridin-4-yl)eth­yl]indolin-2-one, C22H18N2O3, (Ie), are linked into a three-dimensional framework structure by a combination of O—H⋯N, C—H⋯O and C—H⋯π(arene) hydrogen bonds. (RS)-3-[2-(Benzo[d][1,3]dioxol-5-yl)-2-oxoeth­yl]-1-benzyl-3-hy­droxy­indolin-2-one, C24H19NO5, (If), crystallizes with Z' = 2 in the space group Poverline{1} and the mol­ecules are linked into com­plex sheets by a combination of O—H⋯O, C—H⋯O and C—H⋯π(arene) hydro­gen bonds. In each of (E)-1-benzyl-3-[2-(4-fluoro­phen­yl)-2-oxo­ethyl­idene]indolin-2-one, C23H16FNO2, (IIa), and (E)-1-benzyl-3-[2-oxo-2-(thiophen-2-yl)ethylidene]indolin-2-one, C21H15NO2S, (IIg), the mol­ecules are linked into simple chains by a single C—H⋯O hydrogen bond, while those of (E)-1-benzyl-3-[2-oxo-2-(pyridin-4-yl)ethyl­idene]indolin-2-one, C22H16N2O2, (IIe), are linked by three C—H⋯O hydrogen bonds to form sheets which are further linked into a three-dimensional structure by C—H⋯π(arene) hydrogen bonds. There are no hydrogen bonds in the structures of either (E)-1-benzyl-3-[2-(4-meth­oxy­phen­yl)-2-oxo­ethyl­idene]indolin-2-one, C24H19NO3, (IIc), or (E)-1-benzyl-5-chloro-3-[2-(4-chloro­phen­yl)-2-oxo­ethyl­idene]indolin-2-one, C23H15Cl2NO2, (IIh), but the mol­ecules of (IIh) are linked into chains of π-stacked dimers by a combination of C—Cl⋯π(arene) and aromatic π–π stacking inter­actions.

The com­pound poly[2-hy­droxy-N-methyl­ethan-1-aminium [μ3-cyanido-κ3C:C:N-di-μ-cyanido-κ4C:N-dicuprate(I)]], {(C3H10NO)[Cu2(CN)3]}n or [meoenH]Cu2(CN)3, crystallizes in the tetra­gonal space group P43. The structure consists of a three-dimensional (3D) anionic CuICN network with noncoordinated protonated N-methyl­ethano­lamine cations providing charge neutrality. Pairs of cuprophilic Cu atoms are bridged by the C atoms of μ3-cyanide ligands, which link these units into a 43 spiral along the c axis. The spirals are linked together into a 3D anionic network by the two other cyanide groups. The cationic moieties are linked into their own 43 spiral via N—H⋯O and O—H⋯O hydrogen bonds, and the cations inter­act with the 3D network via an unusual pair of N—H⋯N hydrogen bonds to one of the μ2-cyanide groups. Thermogravimetric analysis indicates an initial loss of the base cation and one cyanide as HCN at temperatures in the range 130–250 °C to form CuCN. We show how loss of a specific cyanide group from the 3D CuCN structure could form the linear CuCN structure. Further heating leaves a residue of elemental copper, isolated as the oxide.

Crystals of the rare earth metal polytelluride LaTe1.82(1), namely, lanthanum telluride (1/1.8), have been grown by molten alkali halide flux reactions and vapour-assisted crystallization with iodine. The two-dimensionally incommensurately modulated crystal structure has been investigated by X-ray diffraction experiments. In contrast to the tetra­gonal average structure with unit-cell dimensions of a = 4.4996 (5) and c = 9.179 (1) Å at 296 (1) K, which was solved and refined in the space group P4/nmm (No. 129), the satellite reflections are not compatible with a tetra­gonal symmetry but enforce a symmetry reduction. Possible space groups have been derived by group–subgroup relationships and by consideration of previous reports on similar rare earth metal polychalcogenide structures. Two structural models in the ortho­rhom­bic superspace group, i.e. Pmmn(α,β,1 over 2)000(−α,β,1 over 2)000 (No. 59.2.51.39) and Pm21n(α,β,1 over 2)000(−α,β,1 over 2)000 (No. 31.2.51.35), with modulation wave vectors q1 = αa* + βb* + 1 over 2c* and q2 = −αa* + βb* + 1 over 2c* [α = 0.272 (1) and β = 0.314 (1)], have been established and evaluated against each other. The modulation describes the distribution of defects in the planar [Te] layer, coupled to a displacive modulation due to the formation of different Te anions. The bonding situation in the planar [Te] layer and the different Te anion species have been investigated by density functional theory (DFT) methods and an electron localizability indicator (ELI-D)-based bonding analysis on three different approximants. The temperature-dependent electrical resistance revealed a semiconducting behaviour with an estimated band gap of 0.17 eV.

A screenshot from Maroon 5's "Sugar" music video.; Credit: Maroon 5

Maroon 5 has a new music video built around a simple, viral-bait premise: Adam Levine and the rest of the band trying to crash as many weddings around Los Angeles as they can in one day (Dec. 6 of last year). It's a lot of fun, directed by "Wedding Crashers" movie director David Dobkin, but it appears that some of those "crashed weddings" may have been staged.

Watch the video (warning: contains adult language):

Maroon 5: Sugar

Fans have noticed that several of the couples seen in the video appear to be actors. Actors Stephen and Barbara Woo posted on Facebook that they played the parents of one of the brides in the video and said that not only were the weddings staged, they didn't even take place on one day, claiming that all the weddings were shot in the same location over the course of three days.

Facebook post by actors

The groom from the wedding featured the most in the video has been named by observers as Nico Evers-Swindell, according to Cosmopolitan. Evers-Swindell was already married to actress Megan Ferguson since 2011 — and she's not the "bride" in the video.

Fans have fingered one of the models as "America's Next Top Model" runner-up Raina Hein, according to Cosmopolitan. Also, the man believed to be her long-term boyfriend isn't the groom in the Maroon 5 weddings.

Don't lose heart, though — at least one of the weddings in the video appears to be real, with wedding photographer Duke Khodaverdian telling E! that yes, it was the real deal.

"It was an incredible surprise and everyone at the wedding is going to cherish those memories," Khodaverdian told E! in December.

Instagram 1

Instagram 2

A representative for the band told "Entertainment Tonight" that only the grooms knew about the band in each case — but it looks like that means in the case of the real crashed weddings. The representative did concede that some shots "had to be shot separately from the real weddings due to time and space constraints that were given," and the article does note that the video was shot over three days.

Levine expressed his excitement about crashing the weddings in an interview with People magazine.

"I had no idea I would be affected by the overwhelming reactions we received from the couples and guests," Levine said. He told "Entertainment Tonight" that it was stressful to arrange, but that the surprise felt good. "[We were] happy that they liked our band, too – [that] would have been a total disaster."

They also solicited Twitter to find people lip-syncing "Sugar" to possibly put in their music video, but it doesn't look like those submissions got used.

Maroon 5 Sugar tweet

If you want to see Levine involved in a different dubious outfit, you can see him back hosting "The Voice" on Feb. 23. Open call auditions for the show begin Jan. 24 in New York, with Los Angeles auditions on Jan. 31 and Feb. 1.

Did you spot any more actors you recognize in this video? Do you have any more evidence of any of these weddings being either real or faked? Let me know on Twitter at @MikeRoe.

This content is from Southern California Public Radio. View the original story at SCPR.org.

File: (L-R) "The Sarah Silverman Program" writer Harris Wittels, comedian Sarah Silverman, executive producer/head writer Dan Sterling and actress Laura Silverman, arrive at Comedy Central's Emmy Awards party at the STK restaurant Sept. 21, 2008 in Los Angeles.; Credit: Ethan Miller/Getty Images

Harris Wittels, a comedy writer who worked on "Parks & Recreation," has died at 30, the Los Angeles Police Department's Jane Kim tells KPCC.

Wittels was discovered by his assistant around 12 p.m., Kim said, and was already dead. Kim said that Wittels' death was a possible overdose, but that the Coroner's Office would determine the cause of death. Wittels had attended drug rehab twice.

Comedy Central, where Wittels worked on "The Sarah Silverman Program" and "Secret Girlfriend," confirmed Wittels' death, as did the comedy show he appeared at Wednesday night.

Comedy Central tweet

Meltdown Show tweet

Wittels was also well known for his @Humblebrag Twitter account and later book, helping to popularize the idea online of the false modesty of bragging while trying not to look like you're bragging.

Wittels had spoken about his struggles with addiction in places including Pete Holmes's podcast "You Made It Weird" in a November episode.

"I just really stopped caring about my life," Wittels said on "You Made It Weird," explaining how he got into doing drugs. "I just really started to think, well, if I'm only here for 80 years, then who cares if I spend it high or not?"

Wittels received his first big break when Sarah Silverman saw him performing comedy and gave him a job writing for her Comedy Central show.

Wittels also wrote for HBO's "Eastbound & Down," several MTV awards shows and the American Music Awards. He had a recurring role on "Parks & Recreation" and was a regular guest on the "Comedy Bang Bang" podcast.

Comedians, actors and fans mourned Wittels' death online.

Harris Wittels Storify

See Wittels in a scene from "Parks & Recreation":

Wittels on Parks & Recreation

Listen to Wittels on "Comedy Bang Bang":

Wittels on Comedy Bang Bang

This story has been updated.

This content is from Southern California Public Radio. View the original story at SCPR.org.

A still from "POWER/RANGERS," a highly-produced Power Rangers fan film starring James Van Der Beek and Katee Sackhoff.

Update 2/28: The "POWER/RANGERS" film is back on YouTube and Vimeo. Watch the censored YouTube version with a new viewer discretion disclaimer here:

POWER/RANGERS

You can also watch the Vimeo version, featuring more adult content. The video's description emphasizes its lack of connection in any official way to the Power Rangers:

"Deboot of the Power Rangers. My take on the FAN FILM. Not a pilot, not a series, not for profit, strictly for exhibition. This is a bootleg experiment not affiliated or endorsed by Saban Entertainment or Lionsgate nor is it selling any product. I claim no rights to any of the characters (don't send me any money, not kickstarted, this film is free). This is the NSFW version. An alternate safe version is on youtube."

Director Joseph Kahn tells Deadline, "They put these disclaimers on so kids so don’t confuse our super-violent film with their Power Rangers brand. There are no hard feelings. We signed contracts. We can play it anywhere we want on all platforms. I think they realized that people just want to see it."

Previously: A Power Rangers short film went viral this week, starring Katee Sackhoff (Battlestar Galactica) and James Van Der Beek (Dawson!) in a Tarantino-meets-sci-fi take on a dark future for the formerly Mighty Morphin'.

The company behind the 22-year history of the kids/toy icons issued takedown requests, leading to it being pulled from Vimeo and, on Thursday afternoon, a toned-down version being taken off YouTube. At the time, the video had received over 10 million views. It's still available to watch in this Facebook embed from the producer's Facebook page:

POWER/RANGERS Facebook embed

The film was directed by Joseph Kahn, best known as the music video director behind clips like Taylor Swift's "Blank Space" as well as videos for Britney Spears, U2 and others, and produced by Adi Shankar, who was also behind "The Grey" and "Dredd." Kahn co-wrote the film with Van Der Beek and lesser-known writer Dutch Southern.

This isn't the first quasi-legal fan film produced by Shankar. He's also done the same with Marvel Comics characters the Punisher and Venom. The Punisher film even had one of the actors who played the character on screen, Thomas Jane.

Watch those films (Warning: Adult language and violence):

Punisher short

Venom short

Kahn tells HitFix that Shankar came to him, offering him the chance to reboot an existing property.

One reason for the current legal contentiousness: The Power Rangers are set to hit the big screen next year in a Lionsgate film. Kahn says that, if that film was offered to him, he wouldn't be interested.

"I wouldn't even want to make 'Power Rangers: The Movie' for real," Kahn told HitFix. "Like if I had to make a 'Power Rangers' movie, this is it. It's 14 minutes long, and it's violent, and this is what I have in me. If they offered me the $200 million version, the PG-13 version, I literally wouldn't do it."

There's been a strong response to the video, but the response has been mixed — among the original Power Rangers. The original Green Ranger, actor Jason David Frank, said on Facebook that he was approached to be in the movie but declined. (The film's director denies this claim, saying that Frank must have confused them with another project.) Frank also criticized the adult content.

"I'm just a PG-13 guy," Frank said. "The cuss words, the drugs, all this other stuff, it doesn't fly with me." He says that he thinks the Power Rangers are still connected with kids, and he didn't like the idea of doing a dark and gritty version in that context. (Watch his video below.)

Green Ranger video

But the original Pink Ranger, actress Amy Jo Johnson, gave the film her stamp of approval, which Sackhoff enthusiastically responded to.

Amy Jo Johnson tweet 1

Amy Jo Johnson tweet 2

Katee Sackhoff tweet

Sackhoff told the Nerdcore Movement site that she loves fan films.

"Doing a fan video is kind of the biggest honor you can give a franchise. It’s something that inspired you so much that you want to create," Sackhoff said.

Kahn defended "POWER/RANGERS" on Twitter as being protected due to it being a satire and also cited fair use laws and free speech. He argued that there are lots of other fan films and pointed out that YouTube showed more leniency, leaving it up.

"Every image in POWER/RANGERS is original footage," Kahn wrote in a series of tweets to Vimeo. "Nothing was pre-existing. There is no copyrighted footage in the short."

He also said that it's being given away for free and that Kahn paid for it himself.

Kahn tweet

"It is just as if I drew a pic of Power Rangers on a napkin and I gave it to my friend," Kahn wrote. "Is it illegal to give pic I drew of a character on a napkin to someone for free? No. The world is watching your actions right now."

In a touch of irony, the video had been selected as a Vimeo staff pick before the service took it down. They also responded to complaints about it being taken down, saying that they had to due to the Digital Millennium Copyright Act, and that they would restore the video immediately if the copyright claim was withdrawn, telling fans to complain to Power Rangers copyright holder Saban.

YouTube tweet

Despite the short film's success, hardcore Power Rangers fans are less sure about it, Shamus Kelley tells KPCC. Kelley created his own Rangers fan series, as well as co-hosting a Power Rangers podcast with over 300 episodes so far.

Casual fans are "far more open to the idea of dark/gritty because they see it as the show growing up with them," Kelley says. To hardcore fans, "it was either an abomination or the greatest unintended parody ever."

Kahn tells HitFix that the parody, of both Power Rangers and fan films in general, is definitely intended.

"The dark and gritty reboot thing is such a cliché that the intention was not only to make it dark and gritty but make it even darker and grittier than you could possibly imagine, hence the brains, the blood and the violence and the sex," Kahn said.

Kahn is set to answer questions about the film in a Reddit AMA on Friday at 2 p.m. We'll have to wait and see if there will be anywhere to watch it at the time.

Take a look behind the scenes of "POWER/RANGERS" via posts from the director and stars:

Behind the scenes tweet

Behind the scenes Instagram

Fight training 1

Fight training 2

The film also includes a techno take on the classic Power Rangers theme song, which you can listen to here:

Techno Power Rangers

This story has been updated.

This content is from Southern California Public Radio. View the original story at SCPR.org.

Entangled embedded periodic nets and crystal frameworks are defined, along with their dimension type, homogeneity type, adjacency depth and periodic isotopy type.

Features of azimuthal plots for RHEED and its new counterpart, RHEPD, are discussed. The plots, for both electrons and positrons, are determined using dynamical diffraction theory.

A method is adapted to generate a full rank realization of an abstract regular polyhedron with automorphism group H3.

Structure-mining finds and returns the best-fit structures from structural databases given a measured pair distribution function data set. Using databases and heuristics for automation it has the potential to save experimenters a large amount of time as they explore candidate structures from the literature.

To describe multiple Bragg reflection from a thick, ideally imperfect crystal, the transport equations are reformulated in three-dimensional phase space and solved by spectral collocation in the depth coordinate. Example solutions illustrate the orientational spread of multiply reflected rays and the distortion of rocking curves, especially for finite detectors.

Physical quantities in arbitrary dimensional space can be classified into 41 types using three antisymmetries within the framework of Clifford algebra.

Quaternion methods for obtaining solutions to the problem of finding global rotations that optimally align pairs of corresponding lists of 3D spatial and/or orientation data are critically studied. The existence of multiple literatures and historical contexts is pointed out, and the algebraic solutions of the quaternion approach to the classic 3D spatial problem are emphasized. The treatment is extended to novel quaternion-based solutions to the alignment problems for 4D translation and orientation data.

A Landau theory for the wurtzite-based heterovalent ternary semiconductor ZnSnN2 is developed and a first-order reconstructive phase transition is proposed as the cause of observed crystal structure disorder. The model infers that the phase transition is paraelectric to antiferroelectric.

Using mineralogical data, it is demonstrated that chemical simplicity measured as an amount of Shannon information per atom on average corresponds to higher symmetry measured as an order of the point group of a mineral, which provides a modern formulation of the Fedorov–Groth law.

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