$$\rightleftharpoonup{xx}$$
$$\longleftharp{xx}$$,
$$\longrightharp{xx}$$,
The protocol provided covers a variety of potential options for interactive molecular model construction. As a basic and unifying example for a molecular assembly using these model parts, we have chosen to assemble interactive cyclohexane structures at a variety of scales. Figure 2 shows the parts necessary for this structure: six C atoms, six C-C bonds, and twelve H atoms. These specific prints were crafted using both printers listed in the Table of Materials. The more costly dual extruder printer enables the production of dual color components; here the two-colored hydrogen atom structures with the color change at the midpoint of the bond (Figure 2A). The mono-colored hydrogens in Figure 2B print in about 50‒60% less time due to the lack of an ooze shield structure and lack of polymer retractions in switching between active extruders. The assembled cyclohexane structures (Figure 2C) are functionally equivalent, though the dual extruder prints tend to look moderately more refined.
The PLA models in Figure 2 have reasonably nice finish that is more refined than ABS models straight off the printer (Figure 3A). Chemical treatment of ABS models with acetone gives a smooth and high gloss finish that almost gives the surface a wet look (Figure 3B). Such finishing can be troublesome, particularly if ABS models are not annealed well. Large models printed with ABS are prone to layer separation defects. Layer separation defects happen when the previous layer cools before the extruder can traverse over to lay down the next layer. It is critically important for large ABS prints that the environment around the heating bed of the printer remain at an even and warm temperature to slow down the cooling rate. If a print with a layer defect is submerged in acetone, the acetone will enter the model and dissolve the interior support structure. This will collapse the model from the inside as shown in Figure 3C.
A visually distinct appearance is secondary to functionality of the model structures. The connectors were designed to enable free rotation about single bonds. To test their utility in different systems, four different sets of part sizes were printed, with the carbon atom diameter running from 17.5 mm, 35 mm, 70 mm, and 112 mm. The assembled cyclohexane structures (Figure 4) were all able to flex, distort, and adopt relevant conformers in the same manner. The smallest of these models was the most prone to print flaws, making this size potentially too small and not recommended without tweaking the relative size of the parts. One of the primary benefits to the smaller prints is the speed of printing. An array of six of the smallest carbon atoms printed in around 2 h, as compared to the 10 h required for a single carbon atom of the largest size. While slow to print, large models are potentially more effective for communication in lecture settings where it would be difficult to see the motion of a small structure from a distance.

Figure 4: Models are functional at a variety of scales. To illustrate how the models can be printed for different purposes, cyclohexane models were assembled at four different scales and all retain the same functionality. The carbon atoms of the largest are larger than a softball (112 mm diameter) while the assembled cyclohexane of the smallest could fit within a softball. Please click here to view a larger version of this figure.
The dynamic aspect is one of the key attributes that separate these structures from other printable molecular models. Since the atoms can readily rotate relative to one another, the structures can be distorted to snap into the different representative conformers of cyclohexane. Figure 5 shows the chair, boat, and the transition state structure for interconversion between their respective configuration spaces. This transition state point has four labeled carbon atoms in a nearly planar geometry24,28, the same transition state structure that one achieves doing B3LYP/6-311+G(2d,p) calculations29. Following the same transition state imaginary frequency motion, slightly twisting 2 up and 3 down will snap the model into the boat conformer landscape, while slightly twisting 2 down and 3 up will return the structure to the chair conformer.

Figure 5: Conformers of cyclohexane are fully accessible. As the atoms can rotate about their bonds, the models can adopt the sterically locked chair and more conformationally free boat forms. The transition state between these forms involves four nearly coplanar carbon atoms in the ring. Lightly twisting 2 up with 3 down will slip the model to the boat conformer, while twisting 2 down with 3 up will return the model to the chair conformer. Please click here to view a larger version of this figure.
The state point free energy estimates (Supplementary Table S1) from B3LYP/6-311+G(2d,p) calculations of optimized state points (Supplementary Files S6‒S9) give a gap between the twist-boat and boat conformers of 0.8 kcal/mol, which is very close to thermal energy at 298.15 K. This suggests that conversion between these should sample nearly freely. The gap between the chair conformer and interconversion transition state is more than ten times this value, indicating that the chair should be conformationally locked in comparison. This is illustrated in Figure 6, which shows estimated average conformer energy when each carbon atom location relative the ring plane is latitudinally projected onto a sphere over the course of a gas phase molecular dynamics calculation30,31. In the chair conformer on the left, the energy is low when the carbon atoms are displaced above or below the ring plane, but it ramps up dramatically if they displace to align with the ring plane. In the boat conformer, the conformer energy is relatively low when carbons are in the ring plane (twist-boat state), and the more highly displaced boat conformer is not at a drastically higher energy. These configuration landscapes can be explored with the 3D printed cyclohexane models, with the chair conformer only being able to locally vibrate while the boat conformer can smoothly undulate from one pair of opposite carbon atoms to the next.

Figure 6: Model behavior matches calculations. In the chair and boat conformer states, the latitudinal displacement of carbon atoms about the ring plane over the course of a Molecular Dynamics calculation can be projected onto the surface of an enclosing sphere. While the chair form is most energetically stable, it is locked and can only interconvert to the inverted form by passing through a high energy transition state. Both calculations and printed model flexibility indicate that the boat and twist-boat conformers are separated by close to 1 kBT at 298.15 K, allowing nearly free latitudinal displacement of carbon atoms in this form. Please click here to view a larger version of this figure.
Supplementary Table S1: State point free energy estimates. Please click here to download this table.
Supplementary File 1. Please click here to download this file.
Supplementary File 2. Please click here to download this file.
Supplementary File 3. Please click here to download this file.
Supplementary File 4. Please click here to download this file.
Supplementary File 5. Please click here to download this file.
Supplementary File 6. Please click here to download this file.
Supplementary File 7. Please click here to download this file.
Supplementary File 8. Please click here to download this file.
Supplementary File 9. Please click here to download this file.